Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow
J.L. Fischer, A. Marveggio, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/14597
DOI: 10.48550/ARXIV.2203.17143
arXiv: 2203.17143

Quantitative nonlinear homogenization: control of oscillations
N. Clozeau, A. Gloria, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/10174
arXiv: 2104.04263

A new varifold solution concept for mean curvature flow: Convergence of  the Allen-Cahn equation and weak-strong uniqueness
S. Hensel, T. Laux, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/10011
DOI: 10.48550/arXiv.2109.04233
arXiv: 2109.04233

On a non-isothermal Cahn-Hilliard model based on a microforce balance
A. Marveggio, G. Schimperna, Journal of Differential Equations 274 (2021) 924–970.
LibreCat: https://research-explorer.ista.ac.at/record/8792
DOI: 10.1016/j.jde.2020.10.030
WoS: 000600845300023
arXiv: 2004.02618

Well-posedness for a regularised inertial Dean–Kawasaki model for slender particles in several space dimensions
F. Cornalba, T. Shardlow, J. Zimmer, Journal of Differential Equations 284 (2021) 253–283.
LibreCat: https://research-explorer.ista.ac.at/record/9240
DOI: 10.1016/j.jde.2021.02.048
WoS: 000634823300010

Finite time extinction for the 1D stochastic porous medium equation with transport noise
S. Hensel, Stochastics and Partial Differential Equations: Analysis and Computations 9 (2021) 892–939.
LibreCat: https://research-explorer.ista.ac.at/record/9307
DOI: 10.1007/s40072-021-00188-9
WoS: 000631001700001

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.
LibreCat: https://research-explorer.ista.ac.at/record/9335
DOI: 10.1137/19M1300017
WoS: 000625044600003
arXiv: 1911.04185

A priori error analysis of a numerical stochastic homogenization method
J.L. Fischer, D. Gallistl, D. Peterseim, SIAM Journal on Numerical Analysis 59 (2021) 660–674.
LibreCat: https://research-explorer.ista.ac.at/record/9352
DOI: 10.1137/19M1308992
WoS: 000646030400003
arXiv: 1912.11646

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.
LibreCat: https://research-explorer.ista.ac.at/record/10549
DOI: 10.1007/s00205-021-01686-9
WoS: 000668431200001
arXiv: 1908.02273

On the dynamic slip boundary condition for Navier-Stokes-like problems
A. Abbatiello, M. Bulídek, E. Maringová, Mathematical Models and Methods in Applied Sciences 31 (2021) 2165–2212.
LibreCat: https://research-explorer.ista.ac.at/record/10575
DOI: 10.1142/S0218202521500470
WoS: 000722309400001
arXiv: 2009.09057

On nonlinear problems of parabolic type with implicit constitutive equations involving flux
M. Bulídek, E. Maringová, J. Málek, Mathematical Models and Methods in Applied Sciences 31 (2021).
LibreCat: https://research-explorer.ista.ac.at/record/10005
DOI: 10.1142/S0218202521500457
WoS: 000722222900004
arXiv: 2009.06917

Curvature driven interface evolution: Uniqueness properties of weak solution concepts
S. Hensel, Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts, Institute of Science and Technology Austria, 2021.
LibreCat: https://research-explorer.ista.ac.at/record/10007
DOI: 10.15479/at:ista:10007

Weak-strong uniqueness for the mean curvature flow of double bubbles
S. Hensel, T. Laux, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/10013
DOI: 10.48550/arXiv.2108.01733
arXiv: 2108.01733

Uniform convergence to equilibrium for a family of drift–diffusion models with trap-assisted recombination and the limiting Shockley–Read–Hall model
K. Fellner, M. Kniely, Journal of Elliptic and Parabolic Equations 6 (2020) 529–598.
LibreCat: https://research-explorer.ista.ac.at/record/7866
DOI: 10.1007/s41808-020-00068-8

From weakly interacting particles to a regularised Dean-Kawasaki model
F. Cornalba, T. Shardlow, J. Zimmer, Nonlinearity 33 (2020) 864–891.
LibreCat: https://research-explorer.ista.ac.at/record/7637
DOI: 10.1088/1361-6544/ab5174
WoS: 000508175400001
arXiv: 1811.06448

Variance reduction for effective energies of random lattices in the Thomas-Fermi-von Weizsäcker model
J.L. Fischer, M. Kniely, Nonlinearity 33 (2020) 5733–5772.
LibreCat: https://research-explorer.ista.ac.at/record/8697
DOI: 10.1088/1361-6544/ab9728
WoS: 000576492700001
arXiv: 1906.12245

Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies
J.L. Fischer, T. Laux, T.M. Simon, SIAM Journal on Mathematical Analysis 52 (2020) 6222–6233.
LibreCat: https://research-explorer.ista.ac.at/record/9039
DOI: 10.1137/20M1322182
WoS: 000600695200027

Weak–strong uniqueness for the Navier–Stokes equation for two fluids with surface tension
J.L. Fischer, S. Hensel, Archive for Rational Mechanics and Analysis 236 (2020) 967–1087.
LibreCat: https://research-explorer.ista.ac.at/record/7489
DOI: 10.1007/s00205-019-01486-2
WoS: 000511060200001

The local structure of the energy landscape in multiphase mean curvature flow: weak-strong uniqueness and stability of evolutions
J.L. Fischer, S. Hensel, T. Laux, T. Simon, ArXiv (n.d.).
LibreCat: https://research-explorer.ista.ac.at/record/10012
arXiv: 2003.05478

Modelled distributions of Triebel–Lizorkin type
S. Hensel, T. Rosati, Studia Mathematica 252 (2020) 251–297.
LibreCat: https://research-explorer.ista.ac.at/record/9196
DOI: 10.4064/sm180411-11-2
WoS: 000558100500002
arXiv: 1709.05202

The choice of representative volumes in the approximation of effective properties of random materials
J.L. Fischer, Archive for Rational Mechanics and Analysis 234 (2019) 635–726.
LibreCat: https://research-explorer.ista.ac.at/record/6617
DOI: 10.1007/s00205-019-01400-w
WoS: 000482386000006
arXiv: 1807.00834

New optimal control problems in density functional theory motivated by photovoltaics
G. Friesecke, M. Kniely, Multiscale Modeling and Simulation 17 (2019) 926–947.
LibreCat: https://research-explorer.ista.ac.at/record/6762
DOI: 10.1137/18M1207272
WoS: 000487931800002
arXiv: 1808.04200

Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity
J.L. Fischer, O. Kneuss, Journal of Differential Equations 266 (2019) 257–311.
LibreCat: https://research-explorer.ista.ac.at/record/151
DOI: 10.1016/j.jde.2018.07.045
WoS: 000449108500010
arXiv: 1408.1587

Existence of positive solutions to stochastic thin-film equations
J.L. Fischer, G. Grün, SIAM Journal on Mathematical Analysis 50 (2018) 411–455.
LibreCat: https://research-explorer.ista.ac.at/record/404
DOI: 10.1137/16M1098796
WoS: 000426630900015

Well-posedness for mean-field evolutions arising in superconductivity
M. Duerinckx, J.L. Fischer, Annales de l’Institut Henri Poincare (C) Non Linear Analysis 35 (2018) 1267–1319.
LibreCat: https://research-explorer.ista.ac.at/record/606
DOI: 10.1016/j.anihpc.2017.11.004
WoS: 000437975500005
arXiv: 1607.00268

Weak–strong uniqueness of solutions to entropy dissipating reaction–diffusion equations
J.L. Fischer, Nonlinear Analysis: Theory, Methods and Applications 159 (2017) 181–207.
LibreCat: https://research-explorer.ista.ac.at/record/712
DOI: 10.1016/j.na.2017.03.001