Browse by Authors

2023

Mielke, Alexander (2023) Non-equilibrium steady states as saddle points and EDP-convergence for slow-fast gradient systems. Journal of Mathematical Physics, 64 (12).

Liero, Matthias and Mielke, Alexander and Savaré, Giuseppe (2023) Fine properties of geodesics and geodesic lambda-convexity for the Hellinger-Kantorovich distance. Archive for Rational Mechanics and Analysis, 247 (112).

2022

Fischer, Julian and Hopf, Katharina and Kniely, Michael and Mielke, Alexander (2022) Global existence analysis of energy-reaction-diffusion systems. SIAM Journal on Mathematical Analysis. SIAM Journal on Mathematical Analysis, 54 . pp. 220-267.

2021

Eiter, Thomas and Hopf, Katharina and Mielke, Alexander (2021) Leray–Hopf solutions to a viscoelastoplastic fluid model with nonsmooth stress–strain relation. Nonlinear Analysis, 65 .

Mielke, Alexander and Peletier, Mark A. and Stephan, Artur (2021) EDP-convergence for nonlinear fast–slow reaction systems with detailed balance. Nonlinearity, 34 (8). pp. 5762-5798.

Mielke, Alexander and Montefusco, Alberto and Peletier, Mark A. (2021) Exploring families of energy-dissipation landscapes via tilting: three types of EDP convergence. Continuum Mechanics and Thermodynamics, 33 (2). pp. 611-637.

Mielke, Alexander and Netz, Roland R. and Zendehroud, Sina (2021) A rigorous derivation and energetics of a wave equation with fractional damping. Journal Evolution Equations, 21 . pp. 3079-3102.

2020

Mielke, Alexander and Maas, Jan (2020) Modeling of chemical reaction systems with detailed balance using gradient structures. Journal of Statistical Physics, 181 . pp. 2257-2303.

Gussmann, Pascal and Mielke, Alexander (2020) Linearized elasticity as Mosco-limit of finite elasticity in the presence of cracks. Advances in Calculus of Variations, 13 (1). pp. 1-20.

Mielke, Alexander and Stephan, Artur (2020) Coarse-graining via EDP-convergence for linear fast-slow reaction systems. Mathematical Models and Methods in Applied Sciences, 30 (9). pp. 1765-1807.

2019

Dondl, Patrick and Frenzel, Thomas and Mielke, Alexander (2019) A gradient system with a wiggly energy and relaxed EDP-convergence. ESAIM Control Optimisation and Calculus of Variations, 25 (68). pp. 1-45.

2018

Mielke, Alexander and Mittnenzweig, Markus (2018) Convergence to Equilibrium in Energy-Reaction–Diffusion Systems Using Vector-Valued Functional Inequalities. Journal of Nonlinear Science, 28 . pp. 765-806. ISSN 1432-1467 (online)