Browse by Projects

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).

2021

Heida, Martin and Kantner, Markus and Stephan, Artur (2021) Consistency and convergence for a family of finite volume discretizations of the Fokker--Planck operator. ESAIM: Mathematical Modelling and Numerical Analysis, 55 . pp. 3017-3042.

Stephan, Artur (2021) EDP-convergence for a linear reaction-diffusion system with fast reversible reaction. Calculus of Variations, 60 (226). pp. 1-35.

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.

Heida, Martin and Neukamm, Stefan and Varga, Mario (2021) STOCHASTIC HOMOGENIZATION OF L-CONVEX GRADIENT FLOWS. Discrete and Continuous Dynamical Systems - S, 14 (1). pp. 1-27.

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.

Franchi, Bruno and Heida, Martin and Lorenzani, Silvia (2020) A Mathematical model for Alzheimer's disease: An approach via stochastic homogenization of the Smoluchowski equation. Communications in Mathematical Sciences, 18 (4). pp. 1105-1134.

Soucek, Ondrej and Heida, Martin and Malek, Josef (2020) On a thermodynamic framework for developing boundary conditions for Korteweg-type fluids. International Journal of Engineering Science, 154 . pp. 1-28.

Heida, M. and Kornhuber, R. and Podlesny, J. (2020) Fractal homogenization of multiscale interface problems. Multiscale Modeling & Simulation, 18 (1). pp. 294-314. ISSN 1540-3459

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.

Flegel, Franziska and Heida, Martin (2020) The fractional p-Laplacian emerging from homogenization of the random conductance model with degenerate ergodic weights and unbounded-range jumps. Calculus of Variations and Partial Differential Equations, 59 (8). (Unpublished)

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

Heida, Martin and Patterson, Robert I. A. and Renger, Michiel D.R. (2019) Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space. Journal of Evolution Equations, 19 (1). pp. 111-152.

Flegel, Franziska and Heida, Martin and Slowik, Martin (2019) Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps. Ann. Inst. H. Poincaré Probab. Statist., 55 (3). pp. 1226-1257.

Heida, M. and Nesenenko, S. (2019) Stochastic homogenization of rate-dependent models of monotone type in plasticity. Asymptotic Analysis, 112 (3-4). pp. 185-212. ISSN 0921-7134

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

Donati, L. and Heida, M. and Weber, M. and Keller, B. (2018) Estimation of the infinitesimal generator by square-root approximation. Journal of Physics: Condensed Matter, 30 (42). p. 425201. ISSN 0953-8984, ESSN: 1361-648X

Heida, M. (2018) Convergences of the squareroot approximation scheme to the Fokker–Planck operator. Mathematical Models and Methods in Applied Sciences, 28 (13). pp. 2599-2635. ISSN 0218-2025, ESSN: 1793-6314

Heida, Martin and Röger, Matthias (2018) Large deviation principle for a stochastic Allen--Cahn equation. Journal of Theoretical Probability 31(1), 31 (1). pp. 1-18. (Submitted)

Heida, Martin and Schweizer, Ben (2018) Stochastic homogenization of plasticity equations. ESAIM: Control, Optimisation and Calculus of Variations, 24 (1). 153 -176.

Mielke, A. and Rossi, R. and Savaré, G. (2018) Global existence results for viscoplasticity at finite strain. Archive for Rational Mechanics and Analysis, 227 (1). pp. 423-475. ISSN Print: 0003-9527; Online: 1432-0673

Liero, M. and Mielke, A. and Savaré, G. (2018) Optimal Entropy-Transport problems and a new Hellinger-Kantorovich distance between positive measures. Inventiones mathematicae, 211 . pp. 969-1117. ISSN 1432-1297 (online)

Mielke, A. and Mittnenzweig, M. (2018) Convergence to Equilibrium in Energy-Reaction–Diffusion Systems Using Vector-Valued Functional Inequalities. Journal of Nonlinear Science . pp. 1-42. ISSN 1432-1467 (online)

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)

2017

Heida, M. and Neukamm, S. and Varga, M. (2017) Stochastic unfolding and homogenization. SFB 1114 Preprint at WIAS 12/2017 . pp. 1-45. (Unpublished)

Mielke, A. and Patterson, R. I. A and Peletier, M. A. and Renger, M. (2017) Non-equilibrium thermodynamical principles for chemical reactions with mass-action kinetics. SIAM Journal on Applied Mathematics, 77 (4). pp. 1562-1585. ISSN 1095-712X (online)

Heida, M. (2017) Stochastic homogenization of rate-independent systems and applications. Continuum Mech. Thermodyn., 29 (3). pp. 853-894. ISSN 1432-0959 (online) 0935-1175 (print)

Liero, M. and Mielke, A. and Peletier, M. A. and Renger, M. (2017) On microscopic origins of generalized gradient structures. Discrete and Continuous Dynamical Systems - Series S, 10 (1).

Heida, M. and Mielke, A. (2017) Averaging of time-periodic dissipation potentials in rate-independent processes. Discrete and Continuous Dynamical Systems - Series S, 10 (6). pp. 1303-1327.

Mielke, A. (2017) Three examples concerning the interaction of dry friction and oscillations. In: Trends on Application of Mathematics to Mechanics. Springer Proceedings of the INdAM-ISIMM Workshop, Rome, Italy, September 2016 (27). Springer INdAM series, pp. 159-177.

2016

Bonetti, E. and Rocca, E. and Rossi, R. and Thomas, M. (2016) A rate-independent gradient system in damage coupled with plasticity via structured strains. ESAIM: Proceedings and Surveys, 54 . pp. 54-69.

Liero, M. and Mielke, A. and Savaré, G. (2016) Optimal Transport in Competition with Reaction: The Hellinger--Kantorovich Distance and Geodesic Curves. SIAM J. Math. Anal., 48 (2). pp. 2869-2911. ISSN 1095-7154 (online)

Mielke, A. and Peletier, M. A. and Renger, M. (2016) A generalization of Onsager's reciprocity relations to gradient flows with nonlinear mobility. Journal of Non-Equilibrium Thermodynamics, 41 (2).

Mielke, A. and Rossi, R. and Savaré, G. (2016) Balanced-Viscosity solutions for multi-rate systems. Journal of Physics: Conference Series, 727 . pp. 1-27.