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62 Publications
2023 | Published | Journal Article | IST-REx-ID: 14755 | 
Convergence of the scalar- and vector-valued Allen–Cahn equation to mean curvature flow with 90°-contact angle in higher dimensions, part I: Convergence result
M. Moser, Asymptotic Analysis 131 (2023) 297–383.
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M. Moser, Asymptotic Analysis 131 (2023) 297–383.
2023 | Published | Journal Article | IST-REx-ID: 14772 |
Maximal Lp-regularity and H∞-calculus for block operator matrices and applications
A. Agresti, A. Hussein, Journal of Functional Analysis 285 (2023).
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A. Agresti, A. Hussein, Journal of Functional Analysis 285 (2023).
2023 | Published | Journal Article | IST-REx-ID: 10173 |
Optimal decay of the parabolic semigroup in stochastic homogenization for correlated coefficient fields
N. Clozeau, Stochastics and Partial Differential Equations: Analysis and Computations 11 (2023) 1254–1378.
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N. Clozeau, Stochastics and Partial Differential Equations: Analysis and Computations 11 (2023) 1254–1378.
2023 | Published | Journal Article | IST-REx-ID: 10550 |
Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion
K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, Journal of Nonlinear Science 33 (2023).
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K. Fellner, J.L. Fischer, M. Kniely, B.Q. Tang, Journal of Nonlinear Science 33 (2023).
2023 | Published | Journal Article | IST-REx-ID: 13135 |
Reaction-diffusion equations with transport noise and critical superlinear diffusion: Local well-posedness and positivity
A. Agresti, M. Veraar, Journal of Differential Equations 368 (2023) 247–300.
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A. Agresti, M. Veraar, Journal of Differential Equations 368 (2023) 247–300.
2023 | Published | Thesis | IST-REx-ID: 14587 |
Weak-strong stability and phase-field approximation of interface evolution problems in fluid mechanics and in material sciences
Marveggio, Alice, Weak-strong stability and phase-field approximation of interface evolution problems in fluid mechanics and in material sciences. 2023
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Marveggio, Alice, Weak-strong stability and phase-field approximation of interface evolution problems in fluid mechanics and in material sciences. 2023
2023 | Published | Journal Article | IST-REx-ID: 13043 |
Weak-strong uniqueness for the mean curvature flow of double bubbles
S. Hensel, T. Laux, Interfaces and Free Boundaries 25 (2023) 37–107.
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S. Hensel, T. Laux, Interfaces and Free Boundaries 25 (2023) 37–107.
2023 | Published | Journal Article | IST-REx-ID: 14554 |
The regularised inertial Dean' Kawasaki equation: Discontinuous Galerkin approximation and modelling for low-density regime
F. Cornalba, T. Shardlow, ESAIM: Mathematical Modelling and Numerical Analysis 57 (2023) 3061–3090.
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F. Cornalba, T. Shardlow, ESAIM: Mathematical Modelling and Numerical Analysis 57 (2023) 3061–3090.
2023 | Published | Journal Article | IST-REx-ID: 10551 |
The Dean-Kawasaki equation and the structure of density fluctuations in systems of diffusing particles
F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247 (2023).
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F. Cornalba, J.L. Fischer, Archive for Rational Mechanics and Analysis 247 (2023).
2022 | Published | Journal Article | IST-REx-ID: 11701 |
Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence
A. Agresti, M. Veraar, Nonlinearity 35 (2022) 4100–4210.
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A. Agresti, M. Veraar, Nonlinearity 35 (2022) 4100–4210.
2022 | Published | Journal Article | IST-REx-ID: 11858 |
Nonlinear parabolic stochastic evolution equations in critical spaces part II
A. Agresti, M. Veraar, Journal of Evolution Equations 22 (2022).
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A. Agresti, M. Veraar, Journal of Evolution Equations 22 (2022).
2022 | Published | Journal Article | IST-REx-ID: 12304 |
Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation
N. De Nitti, J.L. Fischer, Communications in Partial Differential Equations 47 (2022) 1394–1434.
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N. De Nitti, J.L. Fischer, Communications in Partial Differential Equations 47 (2022) 1394–1434.
2022 | Published | Journal Article | IST-REx-ID: 12305 |
Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°
H. Abels, M. Moser, SIAM Journal on Mathematical Analysis 54 (2022) 114–172.
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H. Abels, M. Moser, SIAM Journal on Mathematical Analysis 54 (2022) 114–172.
2022 | Published | Journal Article | IST-REx-ID: 10547 |
Global existence analysis of energy-reaction-diffusion systems
J.L. Fischer, K. Hopf, M. Kniely, A. Mielke, SIAM Journal on Mathematical Analysis 54 (2022) 220–267.
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J.L. Fischer, K. Hopf, M. Kniely, A. Mielke, SIAM Journal on Mathematical Analysis 54 (2022) 220–267.
2022 | Published | Journal Article | IST-REx-ID: 10548 |
Scaling limit of the homogenization commutator for Gaussian coefficient fields
M. Duerinckx, J.L. Fischer, A. Gloria, Annals of Applied Probability 32 (2022) 1179–1209.
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M. Duerinckx, J.L. Fischer, A. Gloria, Annals of Applied Probability 32 (2022) 1179–1209.
2022 | Published | Journal Article | IST-REx-ID: 12079 |
Convergence rates for the Allen–Cahn equation with boundary contact energy: The non-perturbative regime
S. Hensel, M. Moser, Calculus of Variations and Partial Differential Equations 61 (2022).
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S. Hensel, M. Moser, Calculus of Variations and Partial Differential Equations 61 (2022).
2022 | Published | Journal Article | IST-REx-ID: 11842 |
Weak-strong uniqueness for the Navier–Stokes equation for two fluids with ninety degree contact angle and same viscosities
S. Hensel, A. Marveggio, Journal of Mathematical Fluid Mechanics 24 (2022).
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S. Hensel, A. Marveggio, Journal of Mathematical Fluid Mechanics 24 (2022).
2022 | Draft | Preprint | IST-REx-ID: 14597 |
Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow
J.L. Fischer, A. Marveggio, ArXiv (n.d.).
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J.L. Fischer, A. Marveggio, ArXiv (n.d.).
2021 | Published | Journal Article | IST-REx-ID: 10549 |
Optimal homogenization rates in stochastic homogenization of nonlinear uniformly elliptic equations and systems
J.L. Fischer, S. Neukamm, Archive for Rational Mechanics and Analysis 242 (2021) 343–452.
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J.L. Fischer, S. Neukamm, Archive for Rational Mechanics and Analysis 242 (2021) 343–452.
2021 | Published | Journal Article | IST-REx-ID: 9335 |
The waiting time phenomenon in spatially discretized porous medium and thin film equations
J.L. Fischer, D. Matthes, SIAM Journal on Numerical Analysis 59 (2021) 60–87.
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J.L. Fischer, D. Matthes, SIAM Journal on Numerical Analysis 59 (2021) 60–87.