Agresti A, Hieber M, Hussein A, Saal M. 2024. The stochastic primitive equations with transport noise and turbulent pressure. Stochastics and Partial Differential Equations: Analysis and Computations. 12, 53–133.
LibreCat: https://research-explorer.ista.ac.at/record/12178
DOI: 10.1007/s40072-022-00277-3
WoS: 000874389000001
arXiv: 2109.09561

Agresti A, Veraar M. 2024. The critical variational setting for stochastic evolution equations. Probability Theory and Related Fields. 188, 957–1015.
LibreCat: https://research-explorer.ista.ac.at/record/12485
DOI: 10.1007/s00440-023-01249-x
arXiv: 2206.00230

Davoli E, D’Elia L, Ingmanns J. 2024. Stochastic homogenization of micromagnetic energies and emergence of magnetic skyrmions. Journal of Nonlinear Science. 34(2), 30.
LibreCat: https://research-explorer.ista.ac.at/record/14884
DOI: 10.1007/s00332-023-10005-3
arXiv: 2306.05151

Agresti A, Veraar M. 2024. Reaction-diffusion equations with transport noise and critical superlinear diffusion: Global well-posedness of weakly dissipative systems. SIAM Journal on Mathematical Analysis. 56(4), 4870–4927.
LibreCat: https://research-explorer.ista.ac.at/record/17372
DOI: 10.1137/23M1562482
arXiv: 2301.06897

Clozeau N, Wang L. 2024. Artificial boundary conditions for random elliptic systems with correlated coefficient field. Multiscale Modeling and Simulation. 22(3), 973–1029.
LibreCat: https://research-explorer.ista.ac.at/record/17462
DOI: 10.1137/23M1603819
arXiv: 2309.06798

Fischer JL, Marveggio A. 2024. Quantitative convergence of the vectorial Allen–Cahn equation towards multiphase mean curvature flow. Annales de l’Institut Henri Poincare C. 41(5), 1117–1178.
LibreCat: https://research-explorer.ista.ac.at/record/17481
DOI: 10.4171/AIHPC/109

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.
LibreCat: https://research-explorer.ista.ac.at/record/17887
DOI: 10.1007/s00205-024-02020-9
arXiv: 2311.02997

Fellner K, Fischer JL, Kniely M, Tang BQ. 2023. Global renormalised solutions and equilibration of reaction-diffusion systems with non-linear diffusion. Journal of Nonlinear Science. 33, 66.
LibreCat: https://research-explorer.ista.ac.at/record/10550
DOI: 10.1007/s00332-023-09926-w
WoS: 001002343400002
arXiv: 2109.12019

Hensel S, Laux T. 2023. Weak-strong uniqueness for the mean curvature flow of double bubbles. Interfaces and Free Boundaries. 25(1), 37–107.
LibreCat: https://research-explorer.ista.ac.at/record/13043
DOI: 10.4171/IFB/484
WoS: 000975817300002
arXiv: 2108.01733

Clozeau N, Josien M, Otto F, Xu Q. 2023. Bias in the representative volume element method: Periodize the ensemble instead of its realizations. Foundations of Computational Mathematics.
LibreCat: https://research-explorer.ista.ac.at/record/13129
DOI: 10.1007/s10208-023-09613-y
WoS: 000999623100001

Clozeau N. 2023. Optimal decay of the parabolic semigroup in stochastic homogenization  for correlated coefficient fields. Stochastics and Partial Differential Equations: Analysis and Computations. 11, 1254–1378.
LibreCat: https://research-explorer.ista.ac.at/record/10173
DOI: 10.1007/s40072-022-00254-w
WoS: 000799715600001
arXiv: 2102.07452

Agresti A, Lindemulder N, Veraar M. 2023. On the trace embedding and its applications to evolution equations. Mathematische Nachrichten. 296(4), 1319–1350.
LibreCat: https://research-explorer.ista.ac.at/record/12429
DOI: 10.1002/mana.202100192
WoS: 000914134900001
arXiv: 2104.05063

Cornalba F, Shardlow T. 2023. The regularised inertial Dean’ Kawasaki equation: Discontinuous Galerkin approximation and modelling for low-density regime. ESAIM: Mathematical Modelling and Numerical Analysis. 57(5), 3061–3090.
LibreCat: https://research-explorer.ista.ac.at/record/14554
DOI: 10.1051/m2an/2023077

Bulídek M, Málek J, Maringová E. 2023. On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary. Journal of Mathematical Fluid Mechanics. 25(3), 72.
LibreCat: https://research-explorer.ista.ac.at/record/14042
DOI: 10.1007/s00021-023-00803-w
WoS: 001040354900001
arXiv: 2301.12834

Agresti A. 2023. Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations. Stochastics and Partial Differential Equations: Analysis and Computations.
LibreCat: https://research-explorer.ista.ac.at/record/12486
DOI: 10.1007/s40072-023-00319-4
arXiv: 2207.08293

Moser M. 2023. 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. Asymptotic Analysis. 131(3–4), 297–383.
LibreCat: https://research-explorer.ista.ac.at/record/14755
DOI: 10.3233/asy-221775
arXiv: 2105.07100

Carioni M, Fischer JL, Schlömerkemper A. 2023. External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a -development. Journal of Convex Analysis. 30(1), 217–247.
LibreCat: https://research-explorer.ista.ac.at/record/14661
WoS: 001115503400013
arXiv: 1811.09857

Agresti A, Veraar M. 2023. Reaction-diffusion equations with transport noise and critical superlinear diffusion: Local well-posedness and positivity. Journal of Differential Equations. 368(9), 247–300.
LibreCat: https://research-explorer.ista.ac.at/record/13135
DOI: 10.1016/j.jde.2023.05.038
WoS: 001019018700001

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.
LibreCat: https://research-explorer.ista.ac.at/record/10551
DOI: 10.1007/s00205-023-01903-7
WoS: 001043086800001
arXiv: 2109.06500

Marveggio A. 2023. Weak-strong stability and phase-field approximation of interface evolution problems in fluid mechanics and in material sciences. Institute of Science and Technology Austria.
LibreCat: https://research-explorer.ista.ac.at/record/14587
DOI: 10.15479/at:ista:14587

Agresti A, Hussein A. 2023. Maximal Lp-regularity and He-calculus for block operator matrices and applications. Journal of Functional Analysis. 285(11), 110146.
LibreCat: https://research-explorer.ista.ac.at/record/14772
DOI: 10.1016/j.jfa.2023.110146
WoS: 001081809000001
arXiv: 2108.01962

Duerinckx M, Fischer JL, Gloria A. 2022. Scaling limit of the homogenization commutator for Gaussian coefficient  fields. Annals of applied probability. 32(2), 1179–1209.
LibreCat: https://research-explorer.ista.ac.at/record/10548
DOI: 10.1214/21-AAP1705
WoS: 000791003700011
arXiv: 1910.04088

Fischer JL, Hopf K, Kniely M, Mielke A. 2022. Global existence analysis of energy-reaction-diffusion systems. SIAM Journal on Mathematical Analysis. 54(1), 220–267.
LibreCat: https://research-explorer.ista.ac.at/record/10547
DOI: 10.1137/20M1387237
WoS: 000762768000006
arXiv: 2012.03792 

Agresti A, Veraar M. 2022. Nonlinear parabolic stochastic evolution equations in critical spaces Part I. Stochastic maximal regularity and local existence. Nonlinearity. 35(8), 4100–4210.
LibreCat: https://research-explorer.ista.ac.at/record/11701
DOI: 10.1088/1361-6544/abd613
WoS: 000826695900001
arXiv: 2001.00512

Agresti A, Veraar M. 2022. Nonlinear parabolic stochastic evolution equations in critical spaces part II. Journal of Evolution Equations. 22(2), 56.
LibreCat: https://research-explorer.ista.ac.at/record/11858
DOI: 10.1007/s00028-022-00786-7
WoS: 000809108500001

Hensel S, Moser M. 2022. Convergence rates for the Allen–Cahn equation with boundary contact energy: The non-perturbative regime. Calculus of Variations and Partial Differential Equations. 61(6), 201.
LibreCat: https://research-explorer.ista.ac.at/record/12079
DOI: 10.1007/s00526-022-02307-3
WoS: 000844247300008

Abels H, Moser M. 2022. Convergence of the Allen--Cahn equation with a nonlinear Robin boundary condition to mean curvature flow with contact angle close to 90°. SIAM Journal on Mathematical Analysis. 54(1), 114–172.
LibreCat: https://research-explorer.ista.ac.at/record/12305
DOI: 10.1137/21m1424925
WoS: 000762768000004
arXiv: 2105.08434

De Nitti N, Fischer JL. 2022. Sharp criteria for the waiting time phenomenon in solutions to the thin-film equation. Communications in Partial Differential Equations. 47(7), 1394–1434.
LibreCat: https://research-explorer.ista.ac.at/record/12304
DOI: 10.1080/03605302.2022.2056702
WoS: 000805689800001
arXiv: 1907.05342

Hensel S, Marveggio A. 2022. Weak-strong uniqueness for the Navier–Stokes equation for two fluids with ninety degree contact angle and same viscosities. Journal of Mathematical Fluid Mechanics. 24(3), 93.
LibreCat: https://research-explorer.ista.ac.at/record/11842
DOI: 10.1007/s00021-022-00722-2
WoS: 000834834300001
arXiv: 2112.11154

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

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

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

Marveggio A, Schimperna G. 2021. On a non-isothermal Cahn-Hilliard model based on a microforce balance. Journal of Differential Equations. 274(2), 924–970.
LibreCat: https://research-explorer.ista.ac.at/record/8792
DOI: 10.1016/j.jde.2020.10.030
WoS: 000600845300023
arXiv: 2004.02618

Cornalba F, Shardlow T, Zimmer J. 2021. Well-posedness for a regularised inertial Dean–Kawasaki model for slender particles in several space dimensions. Journal of Differential Equations. 284(5), 253–283.
LibreCat: https://research-explorer.ista.ac.at/record/9240
DOI: 10.1016/j.jde.2021.02.048
WoS: 000634823300010

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

Fischer JL, Matthes D. 2021. The waiting time phenomenon in spatially discretized porous medium and thin film equations. SIAM Journal on Numerical Analysis. 59(1), 60–87.
LibreCat: https://research-explorer.ista.ac.at/record/9335
DOI: 10.1137/19M1300017
WoS: 000625044600003
arXiv: 1911.04185

Fischer JL, Gallistl D, Peterseim D. 2021. A priori error analysis of a numerical stochastic homogenization method. SIAM Journal on Numerical Analysis. 59(2), 660–674.
LibreCat: https://research-explorer.ista.ac.at/record/9352
DOI: 10.1137/19M1308992
WoS: 000646030400003
arXiv: 1912.11646

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

Abbatiello A, Bulídek M, Maringová E. 2021. On the dynamic slip boundary condition for Navier-Stokes-like problems. Mathematical Models and Methods in Applied Sciences. 31(11), 2165–2212.
LibreCat: https://research-explorer.ista.ac.at/record/10575
DOI: 10.1142/S0218202521500470
WoS: 000722309400001
arXiv: 2009.09057

Bulídek M, Maringová E, Málek J. 2021. On nonlinear problems of parabolic type with implicit constitutive equations involving flux. Mathematical Models and Methods in Applied Sciences. 31(09).
LibreCat: https://research-explorer.ista.ac.at/record/10005
DOI: 10.1142/S0218202521500457
WoS: 000722222900004
arXiv: 2009.06917

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

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

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

Cornalba F, Shardlow T, Zimmer J. 2020. From weakly interacting particles to a regularised Dean-Kawasaki model. Nonlinearity. 33(2), 864–891.
LibreCat: https://research-explorer.ista.ac.at/record/7637
DOI: 10.1088/1361-6544/ab5174
WoS: 000508175400001
arXiv: 1811.06448

Fischer JL, Kniely M. 2020. Variance reduction for effective energies of random lattices in the Thomas-Fermi-von Weizsäcker model. Nonlinearity. 33(11), 5733–5772.
LibreCat: https://research-explorer.ista.ac.at/record/8697
DOI: 10.1088/1361-6544/ab9728
WoS: 000576492700001
arXiv: 1906.12245

Fischer JL, Laux T, Simon TM. 2020. Convergence rates of the Allen-Cahn equation to mean curvature flow: A short proof based on relative entropies. SIAM Journal on Mathematical Analysis. 52(6), 6222–6233.
LibreCat: https://research-explorer.ista.ac.at/record/9039
DOI: 10.1137/20M1322182
WoS: 000600695200027

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.
LibreCat: https://research-explorer.ista.ac.at/record/7489
DOI: 10.1007/s00205-019-01486-2
WoS: 000511060200001

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

Hensel S, Rosati T. 2020. Modelled distributions of Triebel–Lizorkin type. Studia Mathematica. 252(3), 251–297.
LibreCat: https://research-explorer.ista.ac.at/record/9196
DOI: 10.4064/sm180411-11-2
WoS: 000558100500002
arXiv: 1709.05202

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.
LibreCat: https://research-explorer.ista.ac.at/record/6617
DOI: 10.1007/s00205-019-01400-w
WoS: 000482386000006
arXiv: 1807.00834

Friesecke G, Kniely M. 2019. New optimal control problems in density functional theory motivated by photovoltaics. Multiscale Modeling and Simulation. 17(3), 926–947.
LibreCat: https://research-explorer.ista.ac.at/record/6762
DOI: 10.1137/18M1207272
WoS: 000487931800002
arXiv: 1808.04200

Fischer JL, Kneuss O. 2019. Bi-Sobolev solutions to the prescribed Jacobian inequality in the plane with L p data and applications to nonlinear elasticity. Journal of Differential Equations. 266(1), 257–311.
LibreCat: https://research-explorer.ista.ac.at/record/151
DOI: 10.1016/j.jde.2018.07.045
WoS: 000449108500010
arXiv: 1408.1587

Fischer JL, Grün G. 2018. Existence of positive solutions to stochastic thin-film equations. SIAM Journal on Mathematical Analysis. 50(1), 411–455.
LibreCat: https://research-explorer.ista.ac.at/record/404
DOI: 10.1137/16M1098796
WoS: 000426630900015

Duerinckx M, Fischer JL. 2018. Well-posedness for mean-field evolutions arising in superconductivity. Annales de l’Institut Henri Poincare (C) Non Linear Analysis. 35(5), 1267–1319.
LibreCat: https://research-explorer.ista.ac.at/record/606
DOI: 10.1016/j.anihpc.2017.11.004
WoS: 000437975500005
arXiv: 1607.00268

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