Browse by Projects

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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.

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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.

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

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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.

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 (Unpublished)

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.

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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.

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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.

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.

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

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.

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

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.

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 (Unpublished)

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)

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.

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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).

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)

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).

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)

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

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.

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.

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.

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

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)

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)

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 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.

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

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.