Sharp interface limit for a Navier–Stokes/Allen–Cahn system in the case of a vanishing mobility
H. Abels, M. Fei, M. Moser, Calculus of Variations and Partial Differential Equations 63 (2024).

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).

Weak-strong uniqueness for the mean curvature flow of double bubbles
S. Hensel, T. Laux, Interfaces and Free Boundaries 25 (2023) 37–107.

Bias in the representative volume element method: Periodize the ensemble instead of its realizations
N. Clozeau, M. Josien, F. Otto, Q. Xu, Foundations of Computational Mathematics (2023).

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.

On the trace embedding and its applications to evolution equations
A. Agresti, N. Lindemulder, M. Veraar, Mathematische Nachrichten 296 (2023) 1319–1350.

Multi-objective reward generalization: improving performance of Deep Reinforcement Learning for applications in single-asset trading
F. Cornalba, C. Disselkamp, D. Scassola, C. Helf, Neural Computing and Applications (2023).

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.

On unsteady internal flows of incompressible fluids characterized by implicit constitutive equations in the bulk and on the boundary
M. Bulídek, J. Málek, E. Maringová, Journal of Mathematical Fluid Mechanics 25 (2023).

Delayed blow-up and enhanced diffusion by transport noise for systems of reaction-diffusion equations
A. Agresti, Stochastics and Partial Differential Equations: Analysis and Computations (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
M. Moser, Asymptotic Analysis 131 (2023) 297–383.

External forces in the continuum limit of discrete systems with non-convex interaction potentials: Compactness for a -development
M. Carioni, J.L. Fischer, A. Schlömerkemper, Journal of Convex Analysis 30 (2023) 217–247.

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.

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).

Weak-strong stability and phase-field approximation of interface evolution problems in fluid mechanics and in material sciences
A. Marveggio, Weak-Strong Stability and Phase-Field Approximation of Interface Evolution Problems in Fluid Mechanics and in Material Sciences, Institute of Science and Technology Austria, 2023.

Maximal Lp-regularity and He-calculus for block operator matrices and applications
A. Agresti, A. Hussein, Journal of Functional Analysis 285 (2023).

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.

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.

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.

Nonlinear parabolic stochastic evolution equations in critical spaces part II
A. Agresti, M. Veraar, Journal of Evolution Equations 22 (2022).

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).

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.

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.

The stochastic primitive equations with transport noise and turbulent pressure
A. Agresti, M. Hieber, A. Hussein, M. Saal, Stochastics and Partial Differential Equations: Analysis and Computations (2022).

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).

Quantitative convergence of the vectorial Allen-Cahn equation towards multiphase mean curvature flow
J.L. Fischer, A. Marveggio, ArXiv (n.d.).

Quantitative nonlinear homogenization: control of oscillations
N. Clozeau, A. Gloria, ArXiv (n.d.).

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.).

On a non-isothermal Cahn-Hilliard model based on a microforce balance
A. Marveggio, G. Schimperna, Journal of Differential Equations 274 (2021) 924–970.

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.

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.

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.

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.

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.

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.

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).

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.

Weak-strong uniqueness for the mean curvature flow of double bubbles
S. Hensel, T. Laux, ArXiv (n.d.).

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.

From weakly interacting particles to a regularised Dean-Kawasaki model
F. Cornalba, T. Shardlow, J. Zimmer, Nonlinearity 33 (2020) 864–891.

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.

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.

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.

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.).

Modelled distributions of Triebel–Lizorkin type
S. Hensel, T. Rosati, Studia Mathematica 252 (2020) 251–297.

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.

New optimal control problems in density functional theory motivated by photovoltaics
G. Friesecke, M. Kniely, Multiscale Modeling and Simulation 17 (2019) 926–947.

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.

Existence of positive solutions to stochastic thin-film equations
J.L. Fischer, G. Grün, SIAM Journal on Mathematical Analysis 50 (2018) 411–455.

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.

Weak–strong uniqueness of solutions to entropy dissipating reaction–diffusion equations
J.L. Fischer, Nonlinear Analysis: Theory, Methods and Applications 159 (2017) 181–207.