Asymptotic Behaviour of Solutions of Evolutionary Equations (M. I. Vishik). - Alexander Mielke (SIAM Rev., 1995)

Convergence Results for a Coarsening Model Using Global Linearization. - Thierry Gallay; Alexander Mielke (J. Nonlinear Sci., 2003)

A Rate-Independent Model for Inelastic Behavior of Shape-Memory Alloys. - Alexander Mielke; Tomás Roubícek (Multiscale Model. Simul., 2003)

Existence of Minimizers in Incremental Elasto-Plasticity with Finite Strains. - Alexander Mielke (SIAM J. Math. Anal., 2004)

Two-Scale Homogenization for Evolutionary Variational Inequalities via the Energetic Formulation. - Alexander Mielke; Aida M. Timofte (SIAM J. Math. Anal., 2007)

Global Existence for Rate-Independent Gradient Plasticity at Finite Strain. - Andreas Mainik; Alexander Mielke (J. Nonlinear Sci., 2009)

On Existence and Approximation for a 3D Model of Thermally Induced Phase Transformations in Shape-Memory Alloys. - Alexander Mielke; Laetitia Paoli; Adrien Petrov (SIAM J. Math. Anal., 2009)

High-frequency averaging in semi-classical Hartree-type equations. - Johannes Giannoulis; Alexander Mielke; Christof Sparber (Asymptot. Anal., 2010)

Error Estimates for Space-Time Discretizations of a Rate-Independent Variational Inequality. - Alexander Mielke; Laetitia Paoli; Adrien Petrov; Ulisse Stefanelli (SIAM J. Numer. Anal., 2010)

Quasi-Static Small-Strain Plasticity in the Limit of Vanishing Hardening and Its Numerical Approximation. - Sören Bartels; Alexander Mielke; Tomás Roubícek (SIAM J. Numer. Anal., 2012)

Two-scale homogenization of nonlinear reaction-diffusion systems with slow diffusion. - Alexander Mielke; Sina Reichelt; Marita Thomas (Networks Heterog. Media, 2014)

An Approach to Nonlinear Viscoelasticity via Metric Gradient Flows. - Alexander Mielke; Christoph Ortner; Yasemin Sengül (SIAM J. Math. Anal., 2014)

Optimal Transport in Competition with Reaction: The Hellinger-Kantorovich Distance and Geodesic Curves. - Matthias Liero; Alexander Mielke; Giuseppe Savaré (SIAM J. Math. Anal., 2016)

Non-equilibrium Thermodynamical Principles for Chemical Reactions with Mass-Action Kinetics. - Alexander Mielke; Robert I. A. Patterson; Mark A. Peletier; Michiel Renger (SIAM J. Appl. Math., 2017)

Convergence to Equilibrium in Energy-Reaction-Diffusion Systems Using Vector-Valued Functional Inequalities. - Alexander Mielke; Markus Mittnenzweig (J. Nonlinear Sci., 2018)

Coexistence of Hamiltonian-Like and Dissipative Dynamics in Rings of Coupled Phase Oscillators with Skew-Symmetric Coupling. - Oleksandr Burylko; Alexander Mielke; Matthias Wolfrum; Serhiy Yanchuk (SIAM J. Appl. Dyn. Syst., 2018)

Decay to Equilibrium for Energy-Reaction-Diffusion Systems. - Jan Haskovec; Sabine Hittmeir; Peter A. Markowich; Alexander Mielke (SIAM J. Math. Anal., 2018)

On the Darwin-Howie-Whelan Equations for the Scattering of Fast Electrons Described by the Schrödinger Equation. - Thomas Koprucki; Anieza Maltsi; Alexander Mielke (SIAM J. Appl. Math., 2021)

Global Existence Analysis of Energy-Reaction-Diffusion Systems. - Julian Fischer; Katharina Hopf; Michael Kniely; Alexander Mielke (SIAM J. Math. Anal., 2022)

On Two Coupled Degenerate Parabolic Equations Motivated by Thermodynamics. - Alexander Mielke (J. Nonlinear Sci., 2023)

Interaction-Force Transport Gradient Flows. - Egor Gladin; Pavel E. Dvurechenskii; Alexander Mielke; Jia-Jie Zhu (NeurIPS, 2024)

Kernel Approximation of Fisher-Rao Gradient Flows. - Jia-Jie Zhu; Alexander Mielke (CoRR, 2024)

Convergence to Self-Similar Profiles in Reaction-Diffusion Systems. - Alexander Mielke; Stefanie Schindler (SIAM J. Math. Anal., 2024)

Hellinger-Kantorovich Gradient Flows: Global Exponential Decay of Entropy Functionals. - Alexander Mielke; Jia-Jie Zhu (CoRR, 2025)

Discrete-to-continuum limit for nonlinear reaction-diffusion systems via EDP convergence for gradient systems. - Georg Heinze; Alexander Mielke; Artur Stephan (CoRR, 2025)