---
OA_place: publisher
OA_type: hybrid
_id: '19403'
abstract:
- lang: eng
text: We study the BCS critical temperature on half-spaces in dimensions d =1, 2,
3 with Dirichlet or Neumann boundary conditions. We prove that the critical temperature
on a half-space is strictly higher than on Rd, at least at weak coupling in d
= 1, 2 and weak coupling and small chemical potential in d = 3. Furthermore, we
show that the relative shift in critical temperature vanishes in the weak coupling
limit.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). Financial support by the Austrian Science Fund (FWF) through project
number I 6427-N (as part of the SFB/TRR 352) is gratefully acknowledged.
article_number: '20'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Barbara
full_name: Roos, Barbara
id: 5DA90512-D80F-11E9-8994-2E2EE6697425
last_name: Roos
orcid: 0000-0002-9071-5880
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Roos B, Seiringer R. BCS critical temperature on half-spaces. Archive for
Rational Mechanics and Analysis. 2025;249. doi:10.1007/s00205-025-02088-x
apa: Roos, B., & Seiringer, R. (2025). BCS critical temperature on half-spaces.
Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02088-x
chicago: Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.”
Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02088-x.
ieee: B. Roos and R. Seiringer, “BCS critical temperature on half-spaces,” Archive
for Rational Mechanics and Analysis, vol. 249. Springer Nature, 2025.
ista: Roos B, Seiringer R. 2025. BCS critical temperature on half-spaces. Archive
for Rational Mechanics and Analysis. 249, 20.
mla: Roos, Barbara, and Robert Seiringer. “BCS Critical Temperature on Half-Spaces.”
Archive for Rational Mechanics and Analysis, vol. 249, 20, Springer Nature,
2025, doi:10.1007/s00205-025-02088-x.
short: B. Roos, R. Seiringer, Archive for Rational Mechanics and Analysis 249 (2025).
corr_author: '1'
date_created: 2025-03-16T23:01:24Z
date_published: 2025-04-01T00:00:00Z
date_updated: 2025-09-30T11:01:08Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00205-025-02088-x
external_id:
arxiv:
- '2306.05824'
isi:
- '001435380100001'
pmid:
- '40041541'
file:
- access_level: open_access
checksum: 66803fb63a57987eb4f13ee2949bea77
content_type: application/pdf
creator: dernst
date_created: 2025-03-17T10:07:45Z
date_updated: 2025-03-17T10:07:45Z
file_id: '19412'
file_name: 2025_ArchiveRatMech_Roos.pdf
file_size: 1224282
relation: main_file
success: 1
file_date_updated: 2025-03-17T10:07:45Z
has_accepted_license: '1'
intvolume: ' 249'
isi: 1
language:
- iso: eng
month: '04'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: bda63fe5-d553-11ed-ba76-a16e3d2f256b
grant_number: I06427
name: Mathematical Challenges in BCS Theory of Superconductivity
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: BCS critical temperature on half-spaces
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 249
year: '2025'
...
---
OA_place: publisher
OA_type: hybrid
_id: '19660'
abstract:
- lang: eng
text: We analyze the ground state energy of N fermions in a two-dimensional box
interacting with an impurity particle via two-body point interactions. We show
that for weak coupling, the ground state energy is asymptotically described by
the polaron energy, as proposed by F. Chevy in the physics literature. The polaron
energy is the solution of a nonlinear equation involving the Green’s function
of the free Fermi gas and the binding energy of the two-body point interaction.
We provide quantitative error estimates that are uniform in the thermodynamic
limit.
acknowledgement: The author would like to thank Ulrich Linden for introducing him
to the Fermi polaron and for his valuable contributions in the early stages of this
project. Additionally, the author is grateful to Krzysztof Myśliwy for helpful comments.
Open access funding provided by Institute of Science and Technology (IST Austria).
article_number: '30'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
citation:
ama: Mitrouskas DJ. The weakly coupled two-dimensional Fermi polaron. Archive
for Rational Mechanics and Analysis. 2025;249(3). doi:10.1007/s00205-025-02098-9
apa: Mitrouskas, D. J. (2025). The weakly coupled two-dimensional Fermi polaron.
Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-025-02098-9
chicago: Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.”
Archive for Rational Mechanics and Analysis. Springer Nature, 2025. https://doi.org/10.1007/s00205-025-02098-9.
ieee: D. J. Mitrouskas, “The weakly coupled two-dimensional Fermi polaron,” Archive
for Rational Mechanics and Analysis, vol. 249, no. 3. Springer Nature, 2025.
ista: Mitrouskas DJ. 2025. The weakly coupled two-dimensional Fermi polaron. Archive
for Rational Mechanics and Analysis. 249(3), 30.
mla: Mitrouskas, David Johannes. “The Weakly Coupled Two-Dimensional Fermi Polaron.”
Archive for Rational Mechanics and Analysis, vol. 249, no. 3, 30, Springer
Nature, 2025, doi:10.1007/s00205-025-02098-9.
short: D.J. Mitrouskas, Archive for Rational Mechanics and Analysis 249 (2025).
corr_author: '1'
date_created: 2025-05-11T22:02:37Z
date_published: 2025-06-01T00:00:00Z
date_updated: 2025-09-30T12:25:19Z
day: '01'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00205-025-02098-9
external_id:
isi:
- '001482770500001'
file:
- access_level: open_access
checksum: 3606ebd34d59d03f8c66a3a1794c3e4f
content_type: application/pdf
creator: dernst
date_created: 2025-05-12T07:27:28Z
date_updated: 2025-05-12T07:27:28Z
file_id: '19676'
file_name: 2025_ArchiveRatioMechanics_Mitrouskas.pdf
file_size: 886318
relation: main_file
success: 1
file_date_updated: 2025-05-12T07:27:28Z
has_accepted_license: '1'
intvolume: ' 249'
isi: 1
issue: '3'
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The weakly coupled two-dimensional Fermi polaron
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 249
year: '2025'
...
---
_id: '17887'
abstract:
- lang: eng
text: We show convergence of the Navier-Stokes/Allen-Cahn system to a classical
sharp interface model for the two-phase flow of two viscous incompressible fluids
with same viscosities in a smooth bounded domain in two and three space dimensions
as long as a smooth solution of the limit system exists. Moreover, we obtain error
estimates with the aid of a relative entropy method. Our results hold provided
that the mobility mε>0 in the Allen-Cahn equation tends to zero in a subcritical
way, i.e., mε=m0εβ for some β∈(0,2) and m0>0 . The proof proceeds by showing
via a relative entropy argument that the solution to the Navier-Stokes/Allen-Cahn
system remains close to the solution of a perturbed version of the two-phase flow
problem, augmented by an extra mean curvature flow term mεHΓt in the interface
motion. In a second step, it is easy to see that the solution to the perturbed
problem is close to the original two-phase flow.
acknowledgement: "J. Fischer and M. Moser have received funding from the European
Research Council (ERC) under the European Union’s Horizon 2020 research and innovation
programme (grant agreement No 948819).\r\nOpen Access funding enabled and organized
by Projekt DEAL."
article_number: '77'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Helmut
full_name: Abels, Helmut
last_name: Abels
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
- first_name: Maximilian
full_name: Moser, Maximilian
id: a60047a9-da77-11eb-85b4-c4dc385ebb8c
last_name: Moser
citation:
ama: Abels H, Fischer JL, Moser M. Approximation of classical two-phase flows of
viscous incompressible fluids by a Navier–Stokes/Allen–Cahn system. Archive
for Rational Mechanics and Analysis. 2024;248(5). doi:10.1007/s00205-024-02020-9
apa: Abels, H., Fischer, J. L., & Moser, M. (2024). Approximation of classical
two-phase flows of viscous incompressible fluids by a Navier–Stokes/Allen–Cahn
system. Archive for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-024-02020-9
chicago: Abels, Helmut, Julian L Fischer, and Maximilian Moser. “Approximation of
Classical Two-Phase Flows of Viscous Incompressible Fluids by a Navier–Stokes/Allen–Cahn
System.” Archive for Rational Mechanics and Analysis. Springer Nature,
2024. https://doi.org/10.1007/s00205-024-02020-9.
ieee: H. Abels, J. L. Fischer, and M. Moser, “Approximation of classical two-phase
flows of viscous incompressible fluids by a Navier–Stokes/Allen–Cahn system,”
Archive for Rational Mechanics and Analysis, vol. 248, no. 5. Springer
Nature, 2024.
ista: Abels H, Fischer JL, Moser M. 2024. Approximation of classical two-phase flows
of viscous incompressible fluids by a Navier–Stokes/Allen–Cahn system. Archive
for Rational Mechanics and Analysis. 248(5), 77.
mla: Abels, Helmut, et al. “Approximation of Classical Two-Phase Flows of Viscous
Incompressible Fluids by a Navier–Stokes/Allen–Cahn System.” Archive for Rational
Mechanics and Analysis, vol. 248, no. 5, 77, Springer Nature, 2024, doi:10.1007/s00205-024-02020-9.
short: H. Abels, J.L. Fischer, M. Moser, Archive for Rational Mechanics and Analysis
248 (2024).
date_created: 2024-09-08T22:01:10Z
date_published: 2024-09-03T00:00:00Z
date_updated: 2025-09-08T09:11:41Z
day: '03'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s00205-024-02020-9
ec_funded: 1
external_id:
arxiv:
- '2311.02997'
isi:
- '001305530600001'
pmid:
- '39239088'
file:
- access_level: open_access
checksum: 98493a05b84e4513b6394dfad4851ddf
content_type: application/pdf
creator: dernst
date_created: 2024-09-09T08:43:32Z
date_updated: 2024-09-09T08:43:32Z
file_id: '17938'
file_name: 2024_ArchiveRatAnalysis_Abels.pdf
file_size: 811131
relation: main_file
success: 1
file_date_updated: 2024-09-09T08:43:32Z
has_accepted_license: '1'
intvolume: ' 248'
isi: 1
issue: '5'
language:
- iso: eng
month: '09'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 0aa76401-070f-11eb-9043-b5bb049fa26d
call_identifier: H2020
grant_number: '948819'
name: Bridging Scales in Random Materials
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Approximation of classical two-phase flows of viscous incompressible fluids
by a Navier–Stokes/Allen–Cahn system
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 317138e5-6ab7-11ef-aa6d-ffef3953e345
volume: 248
year: '2024'
...
---
_id: '13225'
abstract:
- lang: eng
text: Recently the leading order of the correlation energy of a Fermi gas in a coupled
mean-field and semiclassical scaling regime has been derived, under the assumption
of an interaction potential with a small norm and with compact support in Fourier
space. We generalize this result to large interaction potentials, requiring only
|⋅|V^∈ℓ1(Z3). Our proof is based on approximate, collective bosonization in three
dimensions. Significant improvements compared to recent work include stronger
bounds on non-bosonizable terms and more efficient control on the bosonization
of the kinetic energy.
acknowledgement: "RS was supported by the European Research Council under the European
Union’s Horizon 2020 research and innovation programme (Grant Agreement No. 694227).
MP acknowledges financial support from the European Research Council under the European
Union’s Horizon 2020 research and innovation programme (ERC StG MaMBoQ, Grant Agreement
No. 802901). BS acknowledges financial support from the NCCR SwissMAP, from the
Swiss National Science Foundation through the Grant “Dynamical and energetic properties
of Bose-Einstein condensates” and from the European Research Council through the
ERC AdG CLaQS (Grant Agreement No. 834782). NB and MP were supported by Gruppo Nazionale
per la Fisica Matematica (GNFM) of Italy. NB was supported by the European Research
Council’s Starting Grant FERMIMATH (Grant Agreement No. 101040991).\r\nOpen access
funding provided by Università degli Studi di Milano within the CRUI-CARE Agreement."
article_number: '65'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Niels P
full_name: Benedikter, Niels P
id: 3DE6C32A-F248-11E8-B48F-1D18A9856A87
last_name: Benedikter
orcid: 0000-0002-1071-6091
- first_name: Marcello
full_name: Porta, Marcello
last_name: Porta
- first_name: Benjamin
full_name: Schlein, Benjamin
last_name: Schlein
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Benedikter NP, Porta M, Schlein B, Seiringer R. Correlation energy of a weakly
interacting Fermi gas with large interaction potential. Archive for Rational
Mechanics and Analysis. 2023;247(4). doi:10.1007/s00205-023-01893-6
apa: Benedikter, N. P., Porta, M., Schlein, B., & Seiringer, R. (2023). Correlation
energy of a weakly interacting Fermi gas with large interaction potential. Archive
for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-023-01893-6
chicago: Benedikter, Niels P, Marcello Porta, Benjamin Schlein, and Robert Seiringer.
“Correlation Energy of a Weakly Interacting Fermi Gas with Large Interaction Potential.”
Archive for Rational Mechanics and Analysis. Springer Nature, 2023. https://doi.org/10.1007/s00205-023-01893-6.
ieee: N. P. Benedikter, M. Porta, B. Schlein, and R. Seiringer, “Correlation energy
of a weakly interacting Fermi gas with large interaction potential,” Archive
for Rational Mechanics and Analysis, vol. 247, no. 4. Springer Nature, 2023.
ista: Benedikter NP, Porta M, Schlein B, Seiringer R. 2023. Correlation energy of
a weakly interacting Fermi gas with large interaction potential. Archive for Rational
Mechanics and Analysis. 247(4), 65.
mla: Benedikter, Niels P., et al. “Correlation Energy of a Weakly Interacting Fermi
Gas with Large Interaction Potential.” Archive for Rational Mechanics and Analysis,
vol. 247, no. 4, 65, Springer Nature, 2023, doi:10.1007/s00205-023-01893-6.
short: N.P. Benedikter, M. Porta, B. Schlein, R. Seiringer, Archive for Rational
Mechanics and Analysis 247 (2023).
date_created: 2023-07-16T22:01:08Z
date_published: 2023-08-01T00:00:00Z
date_updated: 2025-04-14T07:26:58Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00205-023-01893-6
ec_funded: 1
external_id:
arxiv:
- '2106.13185'
isi:
- '001024369000001'
file:
- access_level: open_access
checksum: 2b45828d854a253b14bf7aa196ec55e9
content_type: application/pdf
creator: dernst
date_created: 2023-11-14T13:12:12Z
date_updated: 2023-11-14T13:12:12Z
file_id: '14535'
file_name: 2023_ArchiveRationalMechAnalysis_Benedikter.pdf
file_size: 851626
relation: main_file
success: 1
file_date_updated: 2023-11-14T13:12:12Z
has_accepted_license: '1'
intvolume: ' 247'
isi: 1
issue: '4'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Correlation energy of a weakly interacting Fermi gas with large interaction
potential
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 247
year: '2023'
...
---
OA_type: green
_id: '10174'
abstract:
- lang: eng
text: Quantitative stochastic homogenization of linear elliptic operators is by
now well-understood. In this contribution we move forward to the nonlinear setting
of monotone operators with p-growth. This first work is dedicated to a quantitative
two-scale expansion result. Fluctuations will be addressed in companion articles.
By treating the range of exponents 2≤p<∞ in dimensions d≤3, we are able to consider
genuinely nonlinear elliptic equations and systems such as −∇⋅A(x)(1+|∇u|p−2)∇u=f
(with A random, non-necessarily symmetric) for the first time. When going from
p=2 to p>2, the main difficulty is to analyze the associated linearized operator,
whose coefficients are degenerate, unbounded, and depend on the random input A
via the solution of a nonlinear equation. One of our main achievements is the
control of this intricate nonlinear dependence, leading to annealed Meyers' estimates
for the linearized operator, which are key to the quantitative two-scale expansion
result.
acknowledgement: The authors warmly thank Mitia Duerinckx for discussions on annealed
estimates, and Mathias Schäffner for pointing out that the conditions of [14] apply
to ̄a in the setting of Theorem 2.2 and for discussions on regularity theory for
operators with non-standard growth conditions. The authors received financial support
from the European Research Council (ERC) under the European Union’s Horizon 2020
research and innovation programme (Grant Agreement n◦ 864066).
article_number: '67'
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nicolas
full_name: Clozeau, Nicolas
id: fea1b376-906f-11eb-847d-b2c0cf46455b
last_name: Clozeau
- first_name: Antoine
full_name: Gloria, Antoine
last_name: Gloria
citation:
ama: 'Clozeau N, Gloria A. Quantitative nonlinear homogenization: Control of oscillations.
Archive for Rational Mechanics and Analysis . 247(4). doi:10.1007/s00205-023-01895-4'
apa: 'Clozeau, N., & Gloria, A. (n.d.). Quantitative nonlinear homogenization:
Control of oscillations. Archive for Rational Mechanics and Analysis .
Springer Nature. https://doi.org/10.1007/s00205-023-01895-4'
chicago: 'Clozeau, Nicolas, and Antoine Gloria. “Quantitative Nonlinear Homogenization:
Control of Oscillations.” Archive for Rational Mechanics and Analysis .
Springer Nature, n.d. https://doi.org/10.1007/s00205-023-01895-4.'
ieee: 'N. Clozeau and A. Gloria, “Quantitative nonlinear homogenization: Control
of oscillations,” Archive for Rational Mechanics and Analysis , vol. 247,
no. 4. Springer Nature.'
ista: 'Clozeau N, Gloria A. Quantitative nonlinear homogenization: Control of oscillations.
Archive for Rational Mechanics and Analysis . 247(4), 67.'
mla: 'Clozeau, Nicolas, and Antoine Gloria. “Quantitative Nonlinear Homogenization:
Control of Oscillations.” Archive for Rational Mechanics and Analysis ,
vol. 247, no. 4, 67, Springer Nature, doi:10.1007/s00205-023-01895-4.'
short: N. Clozeau, A. Gloria, Archive for Rational Mechanics and Analysis 247 (n.d.).
date_created: 2021-10-23T10:50:55Z
date_published: 2023-07-16T00:00:00Z
date_updated: 2025-01-20T14:44:10Z
day: '16'
doi: 10.1007/s00205-023-01895-4
extern: '1'
external_id:
arxiv:
- '2104.04263'
intvolume: ' 247'
issue: '4'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/2104.04263
month: '07'
oa: 1
oa_version: Preprint
publication: 'Archive for Rational Mechanics and Analysis '
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: draft
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'Quantitative nonlinear homogenization: Control of oscillations'
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 247
year: '2023'
...
---
_id: '10551'
abstract:
- lang: eng
text: 'The Dean–Kawasaki equation—a strongly singular SPDE—is a basic equation of
fluctuating hydrodynamics; it has been proposed in the physics literature to describe
the fluctuations of the density of N independent diffusing particles in the regime
of large particle numbers N≫1. The singular nature of the Dean–Kawasaki equation
presents a substantial challenge for both its analysis and its rigorous mathematical
justification. Besides being non-renormalisable by the theory of regularity structures
by Hairer et al., it has recently been shown to not even admit nontrivial martingale
solutions. In the present work, we give a rigorous and fully quantitative justification
of the Dean–Kawasaki equation by considering the natural regularisation provided
by standard numerical discretisations: We show that structure-preserving discretisations
of the Dean–Kawasaki equation may approximate the density fluctuations of N non-interacting
diffusing particles to arbitrary order in N−1 (in suitable weak metrics). In
other words, the Dean–Kawasaki equation may be interpreted as a “recipe” for accurate
and efficient numerical simulations of the density fluctuations of independent
diffusing particles.'
acknowledgement: "We thank the anonymous referee for his/her careful reading of the
manuscript and valuable suggestions. FC gratefully acknowledges funding from the
Austrian Science Fund (FWF) through the project F65, and from the European Union’s
Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No. 754411.\r\nOpen access funding provided by Austrian Science
Fund (FWF)."
article_number: '76'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Federico
full_name: Cornalba, Federico
id: 2CEB641C-A400-11E9-A717-D712E6697425
last_name: Cornalba
orcid: 0000-0002-6269-5149
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
citation:
ama: Cornalba F, Fischer JL. The Dean-Kawasaki equation and the structure of density
fluctuations in systems of diffusing particles. Archive for Rational Mechanics
and Analysis. 2023;247(5). doi:10.1007/s00205-023-01903-7
apa: Cornalba, F., & Fischer, J. L. (2023). The Dean-Kawasaki equation and the
structure of density fluctuations in systems of diffusing particles. Archive
for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-023-01903-7
chicago: Cornalba, Federico, and Julian L Fischer. “The Dean-Kawasaki Equation and
the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive
for Rational Mechanics and Analysis. Springer Nature, 2023. https://doi.org/10.1007/s00205-023-01903-7.
ieee: F. Cornalba and J. L. Fischer, “The Dean-Kawasaki equation and the structure
of density fluctuations in systems of diffusing particles,” Archive for Rational
Mechanics and Analysis, vol. 247, no. 5. Springer Nature, 2023.
ista: Cornalba F, Fischer JL. 2023. The Dean-Kawasaki equation and the structure
of density fluctuations in systems of diffusing particles. Archive for Rational
Mechanics and Analysis. 247(5), 76.
mla: Cornalba, Federico, and Julian L. Fischer. “The Dean-Kawasaki Equation and
the Structure of Density Fluctuations in Systems of Diffusing Particles.” Archive
for Rational Mechanics and Analysis, vol. 247, no. 5, 76, Springer Nature,
2023, doi:10.1007/s00205-023-01903-7.
short: F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247
(2023).
corr_author: '1'
date_created: 2021-12-16T12:16:03Z
date_published: 2023-08-04T00:00:00Z
date_updated: 2025-04-23T13:06:01Z
day: '04'
ddc:
- '510'
department:
- _id: JuFi
doi: 10.1007/s00205-023-01903-7
ec_funded: 1
external_id:
arxiv:
- '2109.06500'
isi:
- '001043086800001'
pmid:
- '37547904'
file:
- access_level: open_access
checksum: 4529eeff170b6745a461d397ee611b5a
content_type: application/pdf
creator: dernst
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date_updated: 2024-01-30T12:09:34Z
file_id: '14904'
file_name: 2023_ArchiveRationalMech_Cornalba.pdf
file_size: 1851185
relation: main_file
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file_date_updated: 2024-01-30T12:09:34Z
has_accepted_license: '1'
intvolume: ' 247'
isi: 1
issue: '5'
language:
- iso: eng
month: '08'
oa: 1
oa_version: Published Version
pmid: 1
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
- _id: fc31cba2-9c52-11eb-aca3-ff467d239cd2
grant_number: F6504
name: Taming Complexity in Partial Differential Systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: The Dean-Kawasaki equation and the structure of density fluctuations in systems
of diffusing particles
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 247
year: '2023'
...
---
_id: '10224'
abstract:
- lang: eng
text: We investigate the Fröhlich polaron model on a three-dimensional torus, and
give a proof of the second-order quantum corrections to its ground-state energy
in the strong-coupling limit. Compared to previous work in the confined case,
the translational symmetry (and its breaking in the Pekar approximation) makes
the analysis substantially more challenging.
acknowledgement: "Funding from the European Union’s Horizon 2020 research and innovation
programme under the ERC grant agreement No 694227 is gratefully acknowledged. We
would also like to thank Rupert Frank for many helpful discussions, especially related
to the Gross coordinate transformation defined in Def. 4.7.\r\nOpen access funding
provided by Institute of Science and Technology (IST Austria)."
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Dario
full_name: Feliciangeli, Dario
id: 41A639AA-F248-11E8-B48F-1D18A9856A87
last_name: Feliciangeli
orcid: 0000-0003-0754-8530
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: 'Feliciangeli D, Seiringer R. The strongly coupled polaron on the torus: Quantum
corrections to the Pekar asymptotics. Archive for Rational Mechanics and Analysis.
2021;242(3):1835–1906. doi:10.1007/s00205-021-01715-7'
apa: 'Feliciangeli, D., & Seiringer, R. (2021). The strongly coupled polaron
on the torus: Quantum corrections to the Pekar asymptotics. Archive for Rational
Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01715-7'
chicago: 'Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron
on the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational
Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01715-7.'
ieee: 'D. Feliciangeli and R. Seiringer, “The strongly coupled polaron on the torus:
Quantum corrections to the Pekar asymptotics,” Archive for Rational Mechanics
and Analysis, vol. 242, no. 3. Springer Nature, pp. 1835–1906, 2021.'
ista: 'Feliciangeli D, Seiringer R. 2021. The strongly coupled polaron on the torus:
Quantum corrections to the Pekar asymptotics. Archive for Rational Mechanics and
Analysis. 242(3), 1835–1906.'
mla: 'Feliciangeli, Dario, and Robert Seiringer. “The Strongly Coupled Polaron on
the Torus: Quantum Corrections to the Pekar Asymptotics.” Archive for Rational
Mechanics and Analysis, vol. 242, no. 3, Springer Nature, 2021, pp. 1835–1906,
doi:10.1007/s00205-021-01715-7.'
short: D. Feliciangeli, R. Seiringer, Archive for Rational Mechanics and Analysis
242 (2021) 1835–1906.
date_created: 2021-11-07T23:01:26Z
date_published: 2021-10-25T00:00:00Z
date_updated: 2025-04-14T09:11:09Z
day: '25'
ddc:
- '530'
department:
- _id: RoSe
doi: 10.1007/s00205-021-01715-7
ec_funded: 1
external_id:
arxiv:
- '2101.12566'
isi:
- '000710850600001'
file:
- access_level: open_access
checksum: 672e9c21b20f1a50854b7c821edbb92f
content_type: application/pdf
creator: alisjak
date_created: 2021-12-14T08:35:42Z
date_updated: 2021-12-14T08:35:42Z
file_id: '10544'
file_name: 2021_Springer_Feliciangeli.pdf
file_size: 990529
relation: main_file
success: 1
file_date_updated: 2021-12-14T08:35:42Z
has_accepted_license: '1'
intvolume: ' 242'
isi: 1
issue: '3'
language:
- iso: eng
month: '10'
oa: 1
oa_version: Published Version
page: 1835–1906
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '9787'
relation: earlier_version
status: public
scopus_import: '1'
status: public
title: 'The strongly coupled polaron on the torus: Quantum corrections to the Pekar
asymptotics'
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 242
year: '2021'
...
---
_id: '10549'
abstract:
- lang: eng
text: We derive optimal-order homogenization rates for random nonlinear elliptic
PDEs with monotone nonlinearity in the uniformly elliptic case. More precisely,
for a random monotone operator on \mathbb {R}^d with stationary law (that is spatially
homogeneous statistics) and fast decay of correlations on scales larger than the
microscale \varepsilon >0, we establish homogenization error estimates of the
order \varepsilon in case d\geqq 3, and of the order \varepsilon |\log \varepsilon
|^{1/2} in case d=2. Previous results in nonlinear stochastic homogenization have
been limited to a small algebraic rate of convergence \varepsilon ^\delta . We
also establish error estimates for the approximation of the homogenized operator
by the method of representative volumes of the order (L/\varepsilon )^{-d/2} for
a representative volume of size L. Our results also hold in the case of systems
for which a (small-scale) C^{1,\alpha } regularity theory is available.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). SN acknowledges partial support by the Deutsche Forschungsgemeinschaft
(DFG, German Research Foundation) – project number 405009441.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
- first_name: Stefan
full_name: Neukamm, Stefan
last_name: Neukamm
citation:
ama: Fischer JL, Neukamm S. Optimal homogenization rates in stochastic homogenization
of nonlinear uniformly elliptic equations and systems. Archive for Rational
Mechanics and Analysis. 2021;242(1):343-452. doi:10.1007/s00205-021-01686-9
apa: Fischer, J. L., & Neukamm, S. (2021). Optimal homogenization rates in stochastic
homogenization of nonlinear uniformly elliptic equations and systems. Archive
for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01686-9
chicago: Fischer, Julian L, and Stefan Neukamm. “Optimal Homogenization Rates in
Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems.”
Archive for Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01686-9.
ieee: J. L. Fischer and S. Neukamm, “Optimal homogenization rates in stochastic
homogenization of nonlinear uniformly elliptic equations and systems,” Archive
for Rational Mechanics and Analysis, vol. 242, no. 1. Springer Nature, pp.
343–452, 2021.
ista: Fischer JL, Neukamm S. 2021. Optimal homogenization rates in stochastic homogenization
of nonlinear uniformly elliptic equations and systems. Archive for Rational Mechanics
and Analysis. 242(1), 343–452.
mla: Fischer, Julian L., and Stefan Neukamm. “Optimal Homogenization Rates in Stochastic
Homogenization of Nonlinear Uniformly Elliptic Equations and Systems.” Archive
for Rational Mechanics and Analysis, vol. 242, no. 1, Springer Nature, 2021,
pp. 343–452, doi:10.1007/s00205-021-01686-9.
short: J.L. Fischer, S. Neukamm, Archive for Rational Mechanics and Analysis 242
(2021) 343–452.
date_created: 2021-12-16T12:12:33Z
date_published: 2021-06-30T00:00:00Z
date_updated: 2023-08-17T06:23:21Z
day: '30'
ddc:
- '530'
department:
- _id: JuFi
doi: 10.1007/s00205-021-01686-9
external_id:
arxiv:
- '1908.02273'
isi:
- '000668431200001'
file:
- access_level: open_access
checksum: cc830b739aed83ca2e32c4e0ce266a4c
content_type: application/pdf
creator: cchlebak
date_created: 2021-12-16T14:58:08Z
date_updated: 2021-12-16T14:58:08Z
file_id: '10558'
file_name: 2021_ArchRatMechAnalysis_Fischer.pdf
file_size: 1640121
relation: main_file
success: 1
file_date_updated: 2021-12-16T14:58:08Z
has_accepted_license: '1'
intvolume: ' 242'
isi: 1
issue: '1'
keyword:
- Mechanical Engineering
- Mathematics (miscellaneous)
- Analysis
language:
- iso: eng
month: '06'
oa: 1
oa_version: Published Version
page: 343-452
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Optimal homogenization rates in stochastic homogenization of nonlinear uniformly
elliptic equations and systems
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 242
year: '2021'
...
---
_id: '9246'
abstract:
- lang: eng
text: We consider the Fröhlich Hamiltonian in a mean-field limit where many bosonic
particles weakly couple to the quantized phonon field. For large particle numbers
and a suitably small coupling, we show that the dynamics of the system is approximately
described by the Landau–Pekar equations. These describe a Bose–Einstein condensate
interacting with a classical polarization field, whose dynamics is effected by
the condensate, i.e., the back-reaction of the phonons that are created by the
particles during the time evolution is of leading order.
acknowledgement: "Financial support by the European Research Council (ERC) under the\r\nEuropean
Union’s Horizon 2020 research and innovation programme (Grant Agreement\r\nNo 694227;
N.L and R.S.), the SNSF Eccellenza Project PCEFP2 181153 (N.L) and the\r\nDeutsche
Forschungsgemeinschaft (DFG) through the Research TrainingGroup 1838: Spectral\r\nTheory
and Dynamics of Quantum Systems (D.M.) is gratefully acknowledged. N.L.\r\ngratefully
acknowledges support from the NCCRSwissMAP and would like to thank Simone\r\nRademacher
and Benjamin Schlein for interesting discussions about the time-evolution of\r\nthe
polaron at strong coupling. D.M. thanks Marcel Griesemer and Andreas Wünsch for\r\nextensive
discussions about the Fröhlich polaron."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Nikolai K
full_name: Leopold, Nikolai K
id: 4BC40BEC-F248-11E8-B48F-1D18A9856A87
last_name: Leopold
orcid: 0000-0002-0495-6822
- first_name: David Johannes
full_name: Mitrouskas, David Johannes
id: cbddacee-2b11-11eb-a02e-a2e14d04e52d
last_name: Mitrouskas
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Leopold NK, Mitrouskas DJ, Seiringer R. Derivation of the Landau–Pekar equations
in a many-body mean-field limit. Archive for Rational Mechanics and Analysis.
2021;240:383-417. doi:10.1007/s00205-021-01616-9
apa: Leopold, N. K., Mitrouskas, D. J., & Seiringer, R. (2021). Derivation of
the Landau–Pekar equations in a many-body mean-field limit. Archive for Rational
Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-021-01616-9
chicago: Leopold, Nikolai K, David Johannes Mitrouskas, and Robert Seiringer. “Derivation
of the Landau–Pekar Equations in a Many-Body Mean-Field Limit.” Archive for
Rational Mechanics and Analysis. Springer Nature, 2021. https://doi.org/10.1007/s00205-021-01616-9.
ieee: N. K. Leopold, D. J. Mitrouskas, and R. Seiringer, “Derivation of the Landau–Pekar
equations in a many-body mean-field limit,” Archive for Rational Mechanics
and Analysis, vol. 240. Springer Nature, pp. 383–417, 2021.
ista: Leopold NK, Mitrouskas DJ, Seiringer R. 2021. Derivation of the Landau–Pekar
equations in a many-body mean-field limit. Archive for Rational Mechanics and
Analysis. 240, 383–417.
mla: Leopold, Nikolai K., et al. “Derivation of the Landau–Pekar Equations in a
Many-Body Mean-Field Limit.” Archive for Rational Mechanics and Analysis,
vol. 240, Springer Nature, 2021, pp. 383–417, doi:10.1007/s00205-021-01616-9.
short: N.K. Leopold, D.J. Mitrouskas, R. Seiringer, Archive for Rational Mechanics
and Analysis 240 (2021) 383–417.
date_created: 2021-03-14T23:01:34Z
date_published: 2021-02-26T00:00:00Z
date_updated: 2025-06-12T06:35:22Z
day: '26'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00205-021-01616-9
ec_funded: 1
external_id:
arxiv:
- '2001.03993'
isi:
- '000622226200001'
pmid:
- '33785964'
file:
- access_level: open_access
checksum: 23449e44dc5132501a5c86e70638800f
content_type: application/pdf
creator: dernst
date_created: 2021-03-22T08:31:29Z
date_updated: 2021-03-22T08:31:29Z
file_id: '9270'
file_name: 2021_ArchRationalMechAnal_Leopold.pdf
file_size: 558006
relation: main_file
success: 1
file_date_updated: 2021-03-22T08:31:29Z
has_accepted_license: '1'
intvolume: ' 240'
isi: 1
language:
- iso: eng
month: '02'
oa: 1
oa_version: Published Version
page: 383-417
pmid: 1
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Derivation of the Landau–Pekar equations in a many-body mean-field limit
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 240
year: '2021'
...
---
_id: '7650'
abstract:
- lang: eng
text: We consider a dilute, homogeneous Bose gas at positive temperature. The system
is investigated in the Gross–Pitaevskii limit, where the scattering length a is
so small that the interaction energy is of the same order of magnitude as the
spectral gap of the Laplacian, and for temperatures that are comparable to the
critical temperature of the ideal gas. We show that the difference between the
specific free energy of the interacting system and the one of the ideal gas is
to leading order given by 4πa(2ϱ2−ϱ20). Here ϱ denotes the density of the system
and ϱ0 is the expected condensate density of the ideal gas. Additionally, we show
that the one-particle density matrix of any approximate minimizer of the Gibbs
free energy functional is to leading order given by the one of the ideal gas.
This in particular proves Bose–Einstein condensation with critical temperature
given by the one of the ideal gas to leading order. One key ingredient of our
proof is a novel use of the Gibbs variational principle that goes hand in hand
with the c-number substitution.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). It is a pleasure to thank Jakob Yngvason for helpful discussions.
Financial support by the European Research Council (ERC) under the European Union’sHorizon
2020 research and innovation programme (Grant Agreement No. 694227) is gratefully
acknowledged. A. D. acknowledges funding from the European Union’s Horizon 2020
research and innovation programme under the Marie Sklodowska-Curie Grant Agreement
No. 836146.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Andreas
full_name: Deuchert, Andreas
id: 4DA65CD0-F248-11E8-B48F-1D18A9856A87
last_name: Deuchert
orcid: 0000-0003-3146-6746
- first_name: Robert
full_name: Seiringer, Robert
id: 4AFD0470-F248-11E8-B48F-1D18A9856A87
last_name: Seiringer
orcid: 0000-0002-6781-0521
citation:
ama: Deuchert A, Seiringer R. Gross-Pitaevskii limit of a homogeneous Bose gas at
positive temperature. Archive for Rational Mechanics and Analysis. 2020;236(6):1217-1271.
doi:10.1007/s00205-020-01489-4
apa: Deuchert, A., & Seiringer, R. (2020). Gross-Pitaevskii limit of a homogeneous
Bose gas at positive temperature. Archive for Rational Mechanics and Analysis.
Springer Nature. https://doi.org/10.1007/s00205-020-01489-4
chicago: Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous
Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis.
Springer Nature, 2020. https://doi.org/10.1007/s00205-020-01489-4.
ieee: A. Deuchert and R. Seiringer, “Gross-Pitaevskii limit of a homogeneous Bose
gas at positive temperature,” Archive for Rational Mechanics and Analysis,
vol. 236, no. 6. Springer Nature, pp. 1217–1271, 2020.
ista: Deuchert A, Seiringer R. 2020. Gross-Pitaevskii limit of a homogeneous Bose
gas at positive temperature. Archive for Rational Mechanics and Analysis. 236(6),
1217–1271.
mla: Deuchert, Andreas, and Robert Seiringer. “Gross-Pitaevskii Limit of a Homogeneous
Bose Gas at Positive Temperature.” Archive for Rational Mechanics and Analysis,
vol. 236, no. 6, Springer Nature, 2020, pp. 1217–71, doi:10.1007/s00205-020-01489-4.
short: A. Deuchert, R. Seiringer, Archive for Rational Mechanics and Analysis 236
(2020) 1217–1271.
corr_author: '1'
date_created: 2020-04-08T15:18:03Z
date_published: 2020-03-09T00:00:00Z
date_updated: 2025-04-14T07:27:00Z
day: '09'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00205-020-01489-4
ec_funded: 1
external_id:
arxiv:
- '1901.11363'
isi:
- '000519415000001'
file:
- access_level: open_access
checksum: b645fb64bfe95bbc05b3eea374109a9c
content_type: application/pdf
creator: dernst
date_created: 2020-11-20T13:17:42Z
date_updated: 2020-11-20T13:17:42Z
file_id: '8785'
file_name: 2020_ArchRatMechanicsAnalysis_Deuchert.pdf
file_size: 704633
relation: main_file
success: 1
file_date_updated: 2020-11-20T13:17:42Z
has_accepted_license: '1'
intvolume: ' 236'
isi: 1
issue: '6'
language:
- iso: eng
month: '03'
oa: 1
oa_version: Published Version
page: 1217-1271
project:
- _id: 25C6DC12-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '694227'
name: Analysis of quantum many-body systems
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Gross-Pitaevskii limit of a homogeneous Bose gas at positive temperature
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 236
year: '2020'
...
---
_id: '8130'
abstract:
- lang: eng
text: We study the dynamics of a system of N interacting bosons in a disc-shaped
trap, which is realised by an external potential that confines the bosons in one
spatial dimension to an interval of length of order ε. The interaction is non-negative
and scaled in such a way that its scattering length is of order ε/N, while its
range is proportional to (ε/N)β with scaling parameter β∈(0,1]. We consider the
simultaneous limit (N,ε)→(∞,0) and assume that the system initially exhibits Bose–Einstein
condensation. We prove that condensation is preserved by the N-body dynamics,
where the time-evolved condensate wave function is the solution of a two-dimensional
non-linear equation. The strength of the non-linearity depends on the scaling
parameter β. For β∈(0,1), we obtain a cubic defocusing non-linear Schrödinger
equation, while the choice β=1 yields a Gross–Pitaevskii equation featuring the
scattering length of the interaction. In both cases, the coupling parameter depends
on the confining potential.
acknowledgement: Open access funding provided by Institute of Science and Technology
(IST Austria). I thank Stefan Teufel for helpful remarks and for his involvement
in the closely related joint project [10]. Helpful discussions with Serena Cenatiempo
and Nikolai Leopold are gratefully acknowledged. This work was supported by the
German Research Foundation within the Research Training Group 1838 “Spectral Theory
and Dynamics of Quantum Systems” and has received funding from the European Union’s
Horizon 2020 research and innovation programme under the Marie Skłodowska-Curie
Grant Agreement No. 754411.
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Lea
full_name: Bossmann, Lea
id: A2E3BCBE-5FCC-11E9-AA4B-76F3E5697425
last_name: Bossmann
orcid: 0000-0002-6854-1343
citation:
ama: Bossmann L. Derivation of the 2d Gross–Pitaevskii equation for strongly confined
3d Bosons. Archive for Rational Mechanics and Analysis. 2020;238(11):541-606.
doi:10.1007/s00205-020-01548-w
apa: Bossmann, L. (2020). Derivation of the 2d Gross–Pitaevskii equation for strongly
confined 3d Bosons. Archive for Rational Mechanics and Analysis. Springer
Nature. https://doi.org/10.1007/s00205-020-01548-w
chicago: Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly
Confined 3d Bosons.” Archive for Rational Mechanics and Analysis. Springer
Nature, 2020. https://doi.org/10.1007/s00205-020-01548-w.
ieee: L. Bossmann, “Derivation of the 2d Gross–Pitaevskii equation for strongly
confined 3d Bosons,” Archive for Rational Mechanics and Analysis, vol.
238, no. 11. Springer Nature, pp. 541–606, 2020.
ista: Bossmann L. 2020. Derivation of the 2d Gross–Pitaevskii equation for strongly
confined 3d Bosons. Archive for Rational Mechanics and Analysis. 238(11), 541–606.
mla: Bossmann, Lea. “Derivation of the 2d Gross–Pitaevskii Equation for Strongly
Confined 3d Bosons.” Archive for Rational Mechanics and Analysis, vol.
238, no. 11, Springer Nature, 2020, pp. 541–606, doi:10.1007/s00205-020-01548-w.
short: L. Bossmann, Archive for Rational Mechanics and Analysis 238 (2020) 541–606.
corr_author: '1'
date_created: 2020-07-18T15:06:35Z
date_published: 2020-11-01T00:00:00Z
date_updated: 2025-04-14T07:44:05Z
day: '01'
ddc:
- '510'
department:
- _id: RoSe
doi: 10.1007/s00205-020-01548-w
ec_funded: 1
external_id:
arxiv:
- '1907.04547'
isi:
- '000550164400001'
file:
- access_level: open_access
checksum: cc67a79a67bef441625fcb1cd031db3d
content_type: application/pdf
creator: dernst
date_created: 2020-12-02T08:50:38Z
date_updated: 2020-12-02T08:50:38Z
file_id: '8826'
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file_size: 942343
relation: main_file
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has_accepted_license: '1'
intvolume: ' 238'
isi: 1
issue: '11'
language:
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month: '11'
oa: 1
oa_version: Published Version
page: 541-606
project:
- _id: 260C2330-B435-11E9-9278-68D0E5697425
call_identifier: H2020
grant_number: '754411'
name: ISTplus - Postdoctoral Fellowships
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name: IST Austria Open Access Fund
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
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publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Derivation of the 2d Gross–Pitaevskii equation for strongly confined 3d Bosons
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 238
year: '2020'
...
---
_id: '7489'
abstract:
- lang: eng
text: 'In the present work, we consider the evolution of two fluids separated by
a sharp interface in the presence of surface tension—like, for example, the evolution
of oil bubbles in water. Our main result is a weak–strong uniqueness principle
for the corresponding free boundary problem for the incompressible Navier–Stokes
equation: as long as a strong solution exists, any varifold solution must coincide
with it. In particular, in the absence of physical singularities, the concept
of varifold solutions—whose global in time existence has been shown by Abels (Interfaces
Free Bound 9(1):31–65, 2007) for general initial data—does not introduce a mechanism
for non-uniqueness. The key ingredient of our approach is the construction of
a relative entropy functional capable of controlling the interface error. If the
viscosities of the two fluids do not coincide, even for classical (strong) solutions
the gradient of the velocity field becomes discontinuous at the interface, introducing
the need for a careful additional adaption of the relative entropy.'
article_processing_charge: Yes (via OA deal)
article_type: original
author:
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
- first_name: Sebastian
full_name: Hensel, Sebastian
id: 4D23B7DA-F248-11E8-B48F-1D18A9856A87
last_name: Hensel
orcid: 0000-0001-7252-8072
citation:
ama: Fischer JL, Hensel S. Weak–strong uniqueness for the Navier–Stokes equation
for two fluids with surface tension. Archive for Rational Mechanics and Analysis.
2020;236:967-1087. doi:10.1007/s00205-019-01486-2
apa: Fischer, J. L., & Hensel, S. (2020). Weak–strong uniqueness for the Navier–Stokes
equation for two fluids with surface tension. Archive for Rational Mechanics
and Analysis. Springer Nature. https://doi.org/10.1007/s00205-019-01486-2
chicago: Fischer, Julian L, and Sebastian Hensel. “Weak–Strong Uniqueness for the
Navier–Stokes Equation for Two Fluids with Surface Tension.” Archive for Rational
Mechanics and Analysis. Springer Nature, 2020. https://doi.org/10.1007/s00205-019-01486-2.
ieee: J. L. Fischer and S. Hensel, “Weak–strong uniqueness for the Navier–Stokes
equation for two fluids with surface tension,” Archive for Rational Mechanics
and Analysis, vol. 236. Springer Nature, pp. 967–1087, 2020.
ista: Fischer JL, Hensel S. 2020. Weak–strong uniqueness for the Navier–Stokes equation
for two fluids with surface tension. Archive for Rational Mechanics and Analysis.
236, 967–1087.
mla: Fischer, Julian L., and Sebastian Hensel. “Weak–Strong Uniqueness for the Navier–Stokes
Equation for Two Fluids with Surface Tension.” Archive for Rational Mechanics
and Analysis, vol. 236, Springer Nature, 2020, pp. 967–1087, doi:10.1007/s00205-019-01486-2.
short: J.L. Fischer, S. Hensel, Archive for Rational Mechanics and Analysis 236
(2020) 967–1087.
corr_author: '1'
date_created: 2020-02-16T23:00:50Z
date_published: 2020-05-01T00:00:00Z
date_updated: 2026-04-08T07:01:01Z
day: '01'
ddc:
- '530'
- '532'
department:
- _id: JuFi
doi: 10.1007/s00205-019-01486-2
ec_funded: 1
external_id:
isi:
- '000511060200001'
file:
- access_level: open_access
checksum: f107e21b58f5930876f47144be37cf6c
content_type: application/pdf
creator: dernst
date_created: 2020-11-20T09:14:22Z
date_updated: 2020-11-20T09:14:22Z
file_id: '8779'
file_name: 2020_ArchRatMechAn_Fischer.pdf
file_size: 1897571
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month: '05'
oa: 1
oa_version: Published Version
page: 967-1087
project:
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call_identifier: H2020
grant_number: '665385'
name: International IST Doctoral Program
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
related_material:
record:
- id: '10007'
relation: dissertation_contains
status: public
scopus_import: '1'
status: public
title: Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface
tension
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 236
year: '2020'
...
---
_id: '6617'
abstract:
- lang: eng
text: 'The effective large-scale properties of materials with random heterogeneities
on a small scale are typically determined by the method of representative volumes:
a sample of the random material is chosen—the representative volume—and its effective
properties are computed by the cell formula. Intuitively, for a fixed sample size
it should be possible to increase the accuracy of the method by choosing a material
sample which captures the statistical properties of the material particularly
well; for example, for a composite material consisting of two constituents, one
would select a representative volume in which the volume fraction of the constituents
matches closely with their volume fraction in the overall material. Inspired by
similar attempts in materials science, Le Bris, Legoll and Minvielle have designed
a selection approach for representative volumes which performs remarkably well
in numerical examples of linear materials with moderate contrast. In the present
work, we provide a rigorous analysis of this selection approach for representative
volumes in the context of stochastic homogenization of linear elliptic equations.
In particular, we prove that the method essentially never performs worse than
a random selection of the material sample and may perform much better if the selection
criterion for the material samples is chosen suitably.'
article_processing_charge: Yes (via OA deal)
article_type: original
arxiv: 1
author:
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
citation:
ama: Fischer JL. The choice of representative volumes in the approximation of effective
properties of random materials. Archive for Rational Mechanics and Analysis.
2019;234(2):635–726. doi:10.1007/s00205-019-01400-w
apa: Fischer, J. L. (2019). The choice of representative volumes in the approximation
of effective properties of random materials. Archive for Rational Mechanics
and Analysis. Springer. https://doi.org/10.1007/s00205-019-01400-w
chicago: Fischer, Julian L. “The Choice of Representative Volumes in the Approximation
of Effective Properties of Random Materials.” Archive for Rational Mechanics
and Analysis. Springer, 2019. https://doi.org/10.1007/s00205-019-01400-w.
ieee: J. L. Fischer, “The choice of representative volumes in the approximation
of effective properties of random materials,” Archive for Rational Mechanics
and Analysis, vol. 234, no. 2. Springer, pp. 635–726, 2019.
ista: Fischer JL. 2019. The choice of representative volumes in the approximation
of effective properties of random materials. Archive for Rational Mechanics and
Analysis. 234(2), 635–726.
mla: Fischer, Julian L. “The Choice of Representative Volumes in the Approximation
of Effective Properties of Random Materials.” Archive for Rational Mechanics
and Analysis, vol. 234, no. 2, Springer, 2019, pp. 635–726, doi:10.1007/s00205-019-01400-w.
short: J.L. Fischer, Archive for Rational Mechanics and Analysis 234 (2019) 635–726.
corr_author: '1'
date_created: 2019-07-07T21:59:23Z
date_published: 2019-11-01T00:00:00Z
date_updated: 2025-04-15T06:53:15Z
day: '01'
ddc:
- '500'
department:
- _id: JuFi
doi: 10.1007/s00205-019-01400-w
external_id:
arxiv:
- '1807.00834'
isi:
- '000482386000006'
file:
- access_level: open_access
checksum: 4cff75fa6addb0770991ad9c474ab404
content_type: application/pdf
creator: kschuh
date_created: 2019-07-08T15:56:47Z
date_updated: 2020-07-14T12:47:34Z
file_id: '6626'
file_name: Springer_2019_Fischer.pdf
file_size: 1377659
relation: main_file
file_date_updated: 2020-07-14T12:47:34Z
has_accepted_license: '1'
intvolume: ' 234'
isi: 1
issue: '2'
language:
- iso: eng
month: '11'
oa: 1
oa_version: Published Version
page: 635–726
project:
- _id: B67AFEDC-15C9-11EA-A837-991A96BB2854
name: IST Austria Open Access Fund
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer
quality_controlled: '1'
scopus_import: '1'
status: public
title: The choice of representative volumes in the approximation of effective properties
of random materials
tmp:
image: /images/cc_by.png
legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
short: CC BY (4.0)
type: journal_article
user_id: 4359f0d1-fa6c-11eb-b949-802e58b17ae8
volume: 234
year: '2019'
...
---
_id: '6002'
abstract:
- lang: eng
text: The Bogoliubov free energy functional is analysed. The functional serves as
a model of a translation-invariant Bose gas at positive temperature. We prove
the existence of minimizers in the case of repulsive interactions given by a sufficiently
regular two-body potential. Furthermore, we prove the existence of a phase transition
in this model and provide its phase diagram.
article_processing_charge: No
arxiv: 1
author:
- first_name: Marcin M
full_name: Napiórkowski, Marcin M
id: 4197AD04-F248-11E8-B48F-1D18A9856A87
last_name: Napiórkowski
- first_name: Robin
full_name: Reuvers, Robin
last_name: Reuvers
- first_name: Jan Philip
full_name: Solovej, Jan Philip
last_name: Solovej
citation:
ama: 'Napiórkowski MM, Reuvers R, Solovej JP. The Bogoliubov free energy functional
I: Existence of minimizers and phase diagram. Archive for Rational Mechanics
and Analysis. 2018;229(3):1037-1090. doi:10.1007/s00205-018-1232-6'
apa: 'Napiórkowski, M. M., Reuvers, R., & Solovej, J. P. (2018). The Bogoliubov
free energy functional I: Existence of minimizers and phase diagram. Archive
for Rational Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-018-1232-6'
chicago: 'Napiórkowski, Marcin M, Robin Reuvers, and Jan Philip Solovej. “The Bogoliubov
Free Energy Functional I: Existence of Minimizers and Phase Diagram.” Archive
for Rational Mechanics and Analysis. Springer Nature, 2018. https://doi.org/10.1007/s00205-018-1232-6.'
ieee: 'M. M. Napiórkowski, R. Reuvers, and J. P. Solovej, “The Bogoliubov free energy
functional I: Existence of minimizers and phase diagram,” Archive for Rational
Mechanics and Analysis, vol. 229, no. 3. Springer Nature, pp. 1037–1090, 2018.'
ista: 'Napiórkowski MM, Reuvers R, Solovej JP. 2018. The Bogoliubov free energy
functional I: Existence of minimizers and phase diagram. Archive for Rational
Mechanics and Analysis. 229(3), 1037–1090.'
mla: 'Napiórkowski, Marcin M., et al. “The Bogoliubov Free Energy Functional I:
Existence of Minimizers and Phase Diagram.” Archive for Rational Mechanics
and Analysis, vol. 229, no. 3, Springer Nature, 2018, pp. 1037–90, doi:10.1007/s00205-018-1232-6.'
short: M.M. Napiórkowski, R. Reuvers, J.P. Solovej, Archive for Rational Mechanics
and Analysis 229 (2018) 1037–1090.
date_created: 2019-02-14T13:40:53Z
date_published: 2018-09-01T00:00:00Z
date_updated: 2025-04-15T08:26:15Z
day: '01'
department:
- _id: RoSe
doi: 10.1007/s00205-018-1232-6
external_id:
arxiv:
- '1511.05935'
isi:
- '000435367300003'
intvolume: ' 229'
isi: 1
issue: '3'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://arxiv.org/abs/1511.05935
month: '09'
oa: 1
oa_version: Preprint
page: 1037-1090
project:
- _id: 25C878CE-B435-11E9-9278-68D0E5697425
call_identifier: FWF
grant_number: P27533_N27
name: Structure of the Excitation Spectrum for Many-Body Quantum Systems
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: 'The Bogoliubov free energy functional I: Existence of minimizers and phase
diagram'
type: journal_article
user_id: c635000d-4b10-11ee-a964-aac5a93f6ac1
volume: 229
year: '2018'
...
---
OA_place: repository
OA_type: green
_id: '22071'
abstract:
- lang: eng
text: "We consider the cubic–quintic nonlinear Schrödinger equation: (mathematical
formular)\r\nIn the first part of the paper, we analyze the one-parameter family
of ground state solitons associated to this equation with particular attention
to the shape of the associated mass/energy curve. Additionally, we are able to
characterize the kernel of the linearized operator about such solitons and to
demonstrate that they occur as optimizers for a one-parameter family of inequalities
of Gagliardo–Nirenberg type. Building on this work, in the latter part of the
paper we prove that scattering holds for solutions belonging to the region R of
the mass/energy plane where the virial is positive. We show that this region is
partially bounded by solitons also by rescalings of solitons (which are not soliton
solutions in their own right). The discovery of rescaled solitons in this context
is new and highlights an unexpected limitation of any virial-based methodology."
article_processing_charge: No
article_type: original
arxiv: 1
author:
- first_name: Rowan
full_name: Killip, Rowan
last_name: Killip
- first_name: Tadahiro
full_name: Oh, Tadahiro
last_name: Oh
- first_name: Oana
full_name: Pocovnicu, Oana
last_name: Pocovnicu
- first_name: Monica
full_name: Visan, Monica
id: 056daca0-b8d1-11f0-964f-f91054abf8ca
last_name: Visan
citation:
ama: Killip R, Oh T, Pocovnicu O, Vişan M. Solitons and scattering for the cubic-quintic
nonlinear Schrödinger equation on R^3. Archive for Rational Mechanics and Analysis.
2017;225:469-548. doi:10.1007/s00205-017-1109-0
apa: Killip, R., Oh, T., Pocovnicu, O., & Vişan, M. (2017). Solitons and scattering
for the cubic-quintic nonlinear Schrödinger equation on R^3. Archive for Rational
Mechanics and Analysis. Springer Nature. https://doi.org/10.1007/s00205-017-1109-0
chicago: Killip, Rowan, Tadahiro Oh, Oana Pocovnicu, and Monica Vişan. “Solitons
and Scattering for the Cubic-Quintic Nonlinear Schrödinger Equation on R^3.” Archive
for Rational Mechanics and Analysis. Springer Nature, 2017. https://doi.org/10.1007/s00205-017-1109-0.
ieee: R. Killip, T. Oh, O. Pocovnicu, and M. Vişan, “Solitons and scattering for
the cubic-quintic nonlinear Schrödinger equation on R^3,” Archive for Rational
Mechanics and Analysis, vol. 225. Springer Nature, pp. 469–548, 2017.
ista: Killip R, Oh T, Pocovnicu O, Vişan M. 2017. Solitons and scattering for the
cubic-quintic nonlinear Schrödinger equation on R^3. Archive for Rational Mechanics
and Analysis. 225, 469–548.
mla: Killip, Rowan, et al. “Solitons and Scattering for the Cubic-Quintic Nonlinear
Schrödinger Equation on R^3.” Archive for Rational Mechanics and Analysis,
vol. 225, Springer Nature, 2017, pp. 469–548, doi:10.1007/s00205-017-1109-0.
short: R. Killip, T. Oh, O. Pocovnicu, M. Vişan, Archive for Rational Mechanics
and Analysis 225 (2017) 469–548.
date_created: 2026-06-19T08:21:38Z
date_published: 2017-07-01T00:00:00Z
date_updated: 2026-06-30T10:52:12Z
day: '01'
doi: 10.1007/s00205-017-1109-0
extern: '1'
external_id:
arxiv:
- '1409.6734'
intvolume: ' 225'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: https://doi.org/10.48550/arXiv.1409.6734
month: '07'
oa: 1
oa_version: Preprint
page: 469-548
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
quality_controlled: '1'
scopus_import: '1'
status: public
title: Solitons and scattering for the cubic-quintic nonlinear Schrödinger equation
on R^3
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 225
year: '2017'
...
---
OA_place: repository
OA_type: green
_id: '1316'
abstract:
- lang: eng
text: In the present work we introduce the notion of a renormalized solution for
reaction–diffusion systems with entropy-dissipating reactions. We establish the
global existence of renormalized solutions. In the case of integrable reaction
terms our notion of a renormalized solution reduces to the usual notion of a weak
solution. Our existence result in particular covers all reaction–diffusion systems
involving a single reversible reaction with mass-action kinetics and (possibly
species-dependent) Fick-law diffusion; more generally, it covers the case of systems
of reversible reactions with mass-action kinetics which satisfy the detailed balance
condition. For such equations the existence of any kind of solution in general
was an open problem, thereby motivating the study of renormalized solutions.
acknowledgement: This research was supported by the Lithuanian-Swiss cooperation program
under the project agreement No. CH-SMM-01/0.
article_processing_charge: No
article_type: original
author:
- first_name: Julian L
full_name: Fischer, Julian L
id: 2C12A0B0-F248-11E8-B48F-1D18A9856A87
last_name: Fischer
orcid: 0000-0002-0479-558X
citation:
ama: Fischer JL. Global existence of renormalized solutions to entropy-dissipating
reaction–diffusion systems. Archive for Rational Mechanics and Analysis.
2015;218:553-587. doi:10.1007/s00205-015-0866-x
apa: Fischer, J. L. (2015). Global existence of renormalized solutions to entropy-dissipating
reaction–diffusion systems. Archive for Rational Mechanics and Analysis.
Springer Nature. https://doi.org/10.1007/s00205-015-0866-x
chicago: Fischer, Julian L. “Global Existence of Renormalized Solutions to Entropy-Dissipating
Reaction–Diffusion Systems.” Archive for Rational Mechanics and Analysis.
Springer Nature, 2015. https://doi.org/10.1007/s00205-015-0866-x.
ieee: J. L. Fischer, “Global existence of renormalized solutions to entropy-dissipating
reaction–diffusion systems,” Archive for Rational Mechanics and Analysis,
vol. 218. Springer Nature, pp. 553–587, 2015.
ista: Fischer JL. 2015. Global existence of renormalized solutions to entropy-dissipating
reaction–diffusion systems. Archive for Rational Mechanics and Analysis. 218,
553–587.
mla: Fischer, Julian L. “Global Existence of Renormalized Solutions to Entropy-Dissipating
Reaction–Diffusion Systems.” Archive for Rational Mechanics and Analysis,
vol. 218, Springer Nature, 2015, pp. 553–87, doi:10.1007/s00205-015-0866-x.
short: J.L. Fischer, Archive for Rational Mechanics and Analysis 218 (2015) 553–587.
date_created: 2018-12-11T11:51:20Z
date_published: 2015-10-01T00:00:00Z
date_updated: 2026-06-02T09:04:47Z
day: '01'
doi: 10.1007/s00205-015-0866-x
extern: '1'
intvolume: ' 218'
language:
- iso: eng
main_file_link:
- open_access: '1'
url: http://www.j-fischer.eu/pdf/reactdiffexist.pdf
month: '10'
oa: 1
oa_version: Preprint
page: 553 - 587
publication: Archive for Rational Mechanics and Analysis
publication_identifier:
eissn:
- 1432-0673
issn:
- 0003-9527
publication_status: published
publisher: Springer Nature
publist_id: '5955'
quality_controlled: '1'
scopus_import: '1'
status: public
title: Global existence of renormalized solutions to entropy-dissipating reaction–diffusion
systems
type: journal_article
user_id: 2DF688A6-F248-11E8-B48F-1D18A9856A87
volume: 218
year: '2015'
...