Clozeau, Nicolas, and Francesco Mattesini. “Annealed Quantitative Estimates for the Quadratic 2D-Discrete Random Matching Problem.”https://doi.org/10.1007/s00440-023-01254-0__Probability Theory and Related Fields. Springer Nature, 2024.https://doi.org/10.1007/s00440-023-01254-0 .

Davoli, Elisa, Lorenza D’Elia, and Jonas Ingmanns. “Stochastic Homogenization of Micromagnetic Energies and Emergence of Magnetic Skyrmions.”https://doi.org/10.1007/s00332-023-10005-3__Journal of Nonlinear Science. Springer Nature, 2024.https://doi.org/10.1007/s00332-023-10005-3 .

Agresti, Antonio, and Mark Veraar. “The Critical Variational Setting for Stochastic Evolution Equations.”https://doi.org/10.1007/s00440-023-01249-x__Probability Theory and Related Fields. Springer Nature, 2024.https://doi.org/10.1007/s00440-023-01249-x .

Agresti, Antonio, and Eliseo Luongo. “Global Well-Posedness and Interior Regularity of 2D Navier-Stokes Equations with Stochastic Boundary Conditions.”https://doi.org/10.1007/s00208-024-02812-0__Mathematische Annalen. Springer Nature, 2024.https://doi.org/10.1007/s00208-024-02812-0 .

Agresti, Antonio, and Mark Veraar. “Stochastic Maximal Lp(Lq)-Regularity for Second Order Systems with Periodic Boundary Conditions.”https://doi.org/10.1214/22-AIHP1333__Annales de l’institut Henri Poincare Probability and Statistics. Institute of Mathematical Statistics, 2024.https://doi.org/10.1214/22-AIHP1333 .

Abels, Helmut, Mingwen Fei, and Maximilian Moser. “Sharp Interface Limit for a Navier–Stokes/Allen–Cahn System in the Case of a Vanishing Mobility.”https://doi.org/10.1007/s00526-024-02715-7__Calculus of Variations and Partial Differential Equations. Springer Nature, 2024.https://doi.org/10.1007/s00526-024-02715-7 .

Fellner, Klemens, Julian L Fischer, Michael Kniely, and Bao Quoc Tang. “Global Renormalised Solutions and Equilibration of Reaction-Diffusion Systems with Non-Linear Diffusion.”https://doi.org/10.1007/s00332-023-09926-w__Journal of Nonlinear Science. Springer Nature, 2023.https://doi.org/10.1007/s00332-023-09926-w .

Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.”https://doi.org/10.4171/IFB/484__Interfaces and Free Boundaries. EMS Press, 2023.https://doi.org/10.4171/IFB/484 .

Clozeau, Nicolas, Marc Josien, Felix Otto, and Qiang Xu. “Bias in the Representative Volume Element Method: Periodize the Ensemble Instead of Its Realizations.”https://doi.org/10.1007/s10208-023-09613-y__Foundations of Computational Mathematics. Springer Nature, 2023.https://doi.org/10.1007/s10208-023-09613-y .

Clozeau, Nicolas. “Optimal Decay of the Parabolic Semigroup in Stochastic Homogenization  for Correlated Coefficient Fields.”https://doi.org/10.1007/s40072-022-00254-w__Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature, 2023.https://doi.org/10.1007/s40072-022-00254-w .

Agresti, Antonio, Nick Lindemulder, and Mark Veraar. “On the Trace Embedding and Its Applications to Evolution Equations.”https://doi.org/10.1002/mana.202100192__Mathematische Nachrichten. Wiley, 2023.https://doi.org/10.1002/mana.202100192 .

Cornalba, Federico, Constantin Disselkamp, Davide Scassola, and Christopher Helf. “Multi-Objective Reward Generalization: Improving Performance of Deep Reinforcement Learning for Applications in Single-Asset Trading.”https://doi.org/10.1007/s00521-023-09033-7__Neural Computing and Applications. Springer Nature, 2023.https://doi.org/10.1007/s00521-023-09033-7 .

Cornalba, Federico, and Tony Shardlow. “The Regularised Inertial Dean’ Kawasaki Equation: Discontinuous Galerkin Approximation and Modelling for Low-Density Regime.”https://doi.org/10.1051/m2an/2023077__ESAIM: Mathematical Modelling and Numerical Analysis. EDP Sciences, 2023.https://doi.org/10.1051/m2an/2023077 .

Bulídek, Miroslav, Josef Málek, and Erika Maringová. “On Unsteady Internal Flows of Incompressible Fluids Characterized by Implicit Constitutive Equations in the Bulk and on the Boundary.”https://doi.org/10.1007/s00021-023-00803-w__Journal of Mathematical Fluid Mechanics. Springer Nature, 2023.https://doi.org/10.1007/s00021-023-00803-w .

Agresti, Antonio. “Delayed Blow-up and Enhanced Diffusion by Transport Noise for Systems of Reaction-Diffusion Equations.”https://doi.org/10.1007/s40072-023-00319-4__Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature, 2023.https://doi.org/10.1007/s40072-023-00319-4 .

Moser, Maximilian. “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.”https://doi.org/10.3233/asy-221775__Asymptotic Analysis. IOS Press, 2023.https://doi.org/10.3233/asy-221775 .

Carioni, Marcello, Julian L Fischer, and Anja Schlömerkemper. “External Forces in the Continuum Limit of Discrete Systems with Non-Convex Interaction Potentials: Compactness for a -Development.” Journal of Convex Analysis. Heldermann Verlag, 2023.

Agresti, Antonio, and Mark Veraar. “Reaction-Diffusion Equations with Transport Noise and Critical Superlinear Diffusion: Local Well-Posedness and Positivity.”https://doi.org/10.1016/j.jde.2023.05.038__Journal of Differential Equations. Elsevier, 2023.https://doi.org/10.1016/j.jde.2023.05.038 .

Cornalba, Federico, and Julian L Fischer. “The Dean-Kawasaki Equation and the Structure of Density Fluctuations in Systems of Diffusing Particles.”https://doi.org/10.1007/s00205-023-01903-7__Archive for Rational Mechanics and Analysis. Springer Nature, 2023.https://doi.org/10.1007/s00205-023-01903-7 .

Marveggio, Alice. “Weak-Strong Stability and Phase-Field Approximation of Interface Evolution Problems in Fluid Mechanics and in Material Sciences.”https://doi.org/10.15479/at:ista:14587__Institute of Science and Technology Austria, 2023.https://doi.org/10.15479/at:ista:14587 .

Agresti, Antonio, and Amru Hussein. “Maximal Lp-Regularity and He-Calculus for Block Operator Matrices and Applications.”https://doi.org/10.1016/j.jfa.2023.110146__Journal of Functional Analysis. Elsevier, 2023.https://doi.org/10.1016/j.jfa.2023.110146 .

Duerinckx, Mitia, Julian L Fischer, and Antoine Gloria. “Scaling Limit of the Homogenization Commutator for Gaussian Coefficient  Fields.”https://doi.org/10.1214/21-AAP1705__Annals of Applied Probability. Institute of Mathematical Statistics, 2022.https://doi.org/10.1214/21-AAP1705 .

Fischer, Julian L, Katharina Hopf, Michael Kniely, and Alexander Mielke. “Global Existence Analysis of Energy-Reaction-Diffusion Systems.”https://doi.org/10.1137/20M1387237__SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2022.https://doi.org/10.1137/20M1387237 .

Agresti, Antonio, and Mark Veraar. “Nonlinear Parabolic Stochastic Evolution Equations in Critical Spaces Part I. Stochastic Maximal Regularity and Local Existence.”https://doi.org/10.1088/1361-6544/abd613__Nonlinearity. IOP Publishing, 2022.https://doi.org/10.1088/1361-6544/abd613 .

Agresti, Antonio, and Mark Veraar. “Nonlinear Parabolic Stochastic Evolution Equations in Critical Spaces Part II.”https://doi.org/10.1007/s00028-022-00786-7__Journal of Evolution Equations. Springer Nature, 2022.https://doi.org/10.1007/s00028-022-00786-7 .

Hensel, Sebastian, and Maximilian Moser. “Convergence Rates for the Allen–Cahn Equation with Boundary Contact Energy: The Non-Perturbative Regime.”https://doi.org/10.1007/s00526-022-02307-3__Calculus of Variations and Partial Differential Equations. Springer Nature, 2022.https://doi.org/10.1007/s00526-022-02307-3 .

Abels, Helmut, and Maximilian Moser. “Convergence of the Allen--Cahn Equation with a Nonlinear Robin Boundary Condition to Mean Curvature Flow with Contact Angle Close to 90°.”https://doi.org/10.1137/21m1424925__SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2022.https://doi.org/10.1137/21m1424925 .

De Nitti, Nicola, and Julian L Fischer. “Sharp Criteria for the Waiting Time Phenomenon in Solutions to the Thin-Film Equation.”https://doi.org/10.1080/03605302.2022.2056702__Communications in Partial Differential Equations. Taylor &; Francis, 2022.https://doi.org/10.1080/03605302.2022.2056702 .

Agresti, Antonio, Matthias Hieber, Amru Hussein, and Martin Saal. “The Stochastic Primitive Equations with Transport Noise and Turbulent Pressure.”https://doi.org/10.1007/s40072-022-00277-3__Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature, 2022.https://doi.org/10.1007/s40072-022-00277-3 .

Hensel, Sebastian, and Alice Marveggio. “Weak-Strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Ninety Degree Contact Angle and Same Viscosities.”https://doi.org/10.1007/s00021-022-00722-2__Journal of Mathematical Fluid Mechanics. Springer Nature, 2022.https://doi.org/10.1007/s00021-022-00722-2 .

Fischer, Julian L, and Alice Marveggio. “Quantitative Convergence of the Vectorial Allen-Cahn Equation towards Multiphase Mean Curvature Flow.”https://doi.org/10.48550/ARXIV.2203.17143__ArXiv, n.d.https://doi.org/10.48550/ARXIV.2203.17143 .

Clozeau, Nicolas, and Antoine Gloria. “Quantitative Nonlinear Homogenization: Control of Oscillations.” ArXiv, n.d.

Hensel, Sebastian, and Tim Laux. “A New Varifold Solution Concept for Mean Curvature Flow: Convergence of  the Allen-Cahn Equation and Weak-Strong Uniqueness.”https://doi.org/10.48550/arXiv.2109.04233__ArXiv, n.d.https://doi.org/10.48550/arXiv.2109.04233 .

Marveggio, Alice, and Giulio Schimperna. “On a Non-Isothermal Cahn-Hilliard Model Based on a Microforce Balance.”https://doi.org/10.1016/j.jde.2020.10.030__Journal of Differential Equations. Elsevier, 2021.https://doi.org/10.1016/j.jde.2020.10.030 .

Cornalba, Federico, Tony Shardlow, and Johannes Zimmer. “Well-Posedness for a Regularised Inertial Dean–Kawasaki Model for Slender Particles in Several Space Dimensions.”https://doi.org/10.1016/j.jde.2021.02.048__Journal of Differential Equations. Elsevier, 2021.https://doi.org/10.1016/j.jde.2021.02.048 .

Hensel, Sebastian. “Finite Time Extinction for the 1D Stochastic Porous Medium Equation with Transport Noise.”https://doi.org/10.1007/s40072-021-00188-9__Stochastics and Partial Differential Equations: Analysis and Computations. Springer Nature, 2021.https://doi.org/10.1007/s40072-021-00188-9 .

Fischer, Julian L, and Daniel Matthes. “The Waiting Time Phenomenon in Spatially Discretized Porous Medium and Thin Film Equations.”https://doi.org/10.1137/19M1300017__SIAM Journal on Numerical Analysis. Society for Industrial and Applied Mathematics, 2021.https://doi.org/10.1137/19M1300017 .

Fischer, Julian L, Dietmar Gallistl, and Dietmar Peterseim. “A Priori Error Analysis of a Numerical Stochastic Homogenization Method.”https://doi.org/10.1137/19M1308992__SIAM Journal on Numerical Analysis. Society for Industrial and Applied Mathematics, 2021.https://doi.org/10.1137/19M1308992 .

Fischer, Julian L, and Stefan Neukamm. “Optimal Homogenization Rates in Stochastic Homogenization of Nonlinear Uniformly Elliptic Equations and Systems.”https://doi.org/10.1007/s00205-021-01686-9__Archive for Rational Mechanics and Analysis. Springer Nature, 2021.https://doi.org/10.1007/s00205-021-01686-9 .

Abbatiello, Anna, Miroslav Bulídek, and Erika Maringová. “On the Dynamic Slip Boundary Condition for Navier-Stokes-like Problems.”https://doi.org/10.1142/S0218202521500470__Mathematical Models and Methods in Applied Sciences. World Scientific Publishing, 2021.https://doi.org/10.1142/S0218202521500470 .

Bulídek, Miroslav, Erika Maringová, and Josef Málek. “On Nonlinear Problems of Parabolic Type with Implicit Constitutive Equations Involving Flux.”https://doi.org/10.1142/S0218202521500457__Mathematical Models and Methods in Applied Sciences. World Scientific, 2021.https://doi.org/10.1142/S0218202521500457 .

Hensel, Sebastian. “Curvature Driven Interface Evolution: Uniqueness Properties of Weak Solution Concepts.”https://doi.org/10.15479/at:ista:10007__Institute of Science and Technology Austria, 2021.https://doi.org/10.15479/at:ista:10007 .

Hensel, Sebastian, and Tim Laux. “Weak-Strong Uniqueness for the Mean Curvature Flow of Double Bubbles.”https://doi.org/10.48550/arXiv.2108.01733__ArXiv, n.d.https://doi.org/10.48550/arXiv.2108.01733 .

Fellner, Klemens, and Michael Kniely. “Uniform Convergence to Equilibrium for a Family of Drift–Diffusion Models with Trap-Assisted Recombination and the Limiting Shockley–Read–Hall Model.”https://doi.org/10.1007/s41808-020-00068-8__Journal of Elliptic and Parabolic Equations. Springer Nature, 2020.https://doi.org/10.1007/s41808-020-00068-8 .

Cornalba, Federico, Tony Shardlow, and Johannes Zimmer. “From Weakly Interacting Particles to a Regularised Dean-Kawasaki Model.”https://doi.org/10.1088/1361-6544/ab5174__Nonlinearity. IOP Publishing, 2020.https://doi.org/10.1088/1361-6544/ab5174 .

Fischer, Julian L, and Michael Kniely. “Variance Reduction for Effective Energies of Random Lattices in the Thomas-Fermi-von Weizsäcker Model.”https://doi.org/10.1088/1361-6544/ab9728__Nonlinearity. IOP Publishing, 2020.https://doi.org/10.1088/1361-6544/ab9728 .

Fischer, Julian L, Tim Laux, and Theresa M. Simon. “Convergence Rates of the Allen-Cahn Equation to Mean Curvature Flow: A Short Proof Based on Relative Entropies.”https://doi.org/10.1137/20M1322182__SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics, 2020.https://doi.org/10.1137/20M1322182 .

Fischer, Julian L, and Sebastian Hensel. “Weak–Strong Uniqueness for the Navier–Stokes Equation for Two Fluids with Surface Tension.”https://doi.org/10.1007/s00205-019-01486-2__Archive for Rational Mechanics and Analysis. Springer Nature, 2020.https://doi.org/10.1007/s00205-019-01486-2 .

Fischer, Julian L, Sebastian Hensel, Tim Laux, and Thilo Simon. “The Local Structure of the Energy Landscape in Multiphase Mean Curvature Flow: Weak-Strong Uniqueness and Stability of Evolutions.” ArXiv, n.d.

Hensel, Sebastian, and Tommaso Rosati. “Modelled Distributions of Triebel–Lizorkin Type.”https://doi.org/10.4064/sm180411-11-2__Studia Mathematica. Instytut Matematyczny, 2020.https://doi.org/10.4064/sm180411-11-2 .

Fischer, Julian L. “The Choice of Representative Volumes in the Approximation of Effective Properties of Random Materials.”https://doi.org/10.1007/s00205-019-01400-w__Archive for Rational Mechanics and Analysis. Springer, 2019.https://doi.org/10.1007/s00205-019-01400-w .

Friesecke, Gero, and Michael Kniely. “New Optimal Control Problems in Density Functional Theory Motivated by Photovoltaics.”https://doi.org/10.1137/18M1207272__Multiscale Modeling and Simulation. SIAM, 2019.https://doi.org/10.1137/18M1207272 .

Fischer, Julian L, and Olivier Kneuss. “Bi-Sobolev Solutions to the Prescribed Jacobian Inequality in the Plane with L p Data and Applications to Nonlinear Elasticity.”https://doi.org/10.1016/j.jde.2018.07.045__Journal of Differential Equations. Elsevier, 2019.https://doi.org/10.1016/j.jde.2018.07.045 .

Fischer, Julian L, and Günther Grün. “Existence of Positive Solutions to Stochastic Thin-Film Equations.”https://doi.org/10.1137/16M1098796__SIAM Journal on Mathematical Analysis. Society for Industrial and Applied Mathematics , 2018.https://doi.org/10.1137/16M1098796 .

Duerinckx, Mitia, and Julian L Fischer. “Well-Posedness for Mean-Field Evolutions Arising in Superconductivity.”https://doi.org/10.1016/j.anihpc.2017.11.004__Annales de l’Institut Henri Poincare (C) Non Linear Analysis. Elsevier, 2018.https://doi.org/10.1016/j.anihpc.2017.11.004 .

Fischer, Julian L. “Weak–Strong Uniqueness of Solutions to Entropy Dissipating Reaction–Diffusion Equations.”https://doi.org/10.1016/j.na.2017.03.001__Nonlinear Analysis: Theory, Methods and Applications. Elsevier, 2017.https://doi.org/10.1016/j.na.2017.03.001 .