Number of items: **36**.

## 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.
(Submitted)

Mielke, Alexander and Peletier, Mark A. and Stephan, Artur
(2021)
*EDP-convergence for nonlinear fast–slow
reaction systems with detailed balance.*
Nonlinearity 34 (, 34
.
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 Λ-convex gradient flows.*
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS SERIES S, 14
(1).
pp. 427-459.

Heida, Martin and Neukamm, Stefan and Varga, Mario
(2021)
*STOCHASTIC HOMOGENIZATION OF �-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, P. and Mielke, A.
(2020)
*Linearized elasticity as Mosco-limit of finite elasticity in the presence of cracks.*
Advances in Calculus of Variations
.

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

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.

Flegel, Franziska and Heida, Martin and Slowik, Martin
(2019)
*Homogenization theory for the random conductance model with degenerate ergodic weights and unbounded-range jumps.*
Annales de l Institut Henri Poincaré Probabilités et Statistiques, 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

## 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. and Patterson, R. I. A and Renger, M.
(2018)
*Topologies and measures on the space of functions of bounded variation taking values in a Banach or metric space.*
J. Evol. Equ.
.
pp. 1-42.
ISSN Online: 1424-3202 Print: 1424-3199

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.

Dondl, Patrick and Frenzel, Thomas and Mielke, Alexander
(2018)
*A gradient system with a wiggly energy
and relaxed EDP-convergence.*
ESAIM Control Optimisation and Calculus of Variations, 25
.
pp. 1-46.
(Submitted)

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, 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.

Mielke, A. and Mittnenzweig, M.
(2017)
*Convergence to Equilibrium in Energy-Reaction–Diffusion Systems Using Vector-Valued Functional Inequalities.*
Journal of Nonlinear Science
.
pp. 1-42.
ISSN 1432-1467 (online)

## 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.

This list was generated on **Sat Jan 22 00:42:31 2022 CET**.