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Article

Mielke, A. and Roubícek, T. (2020) Thermoviscoelasticity in Kelvin-Voigt rheology at large strains. Arch. Rational Mech. Anal., 238 . pp. 1-45.

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)

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 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)

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. and Roubícek, T. (2016) Rate-Independent elastoplasticity at finite strain and its numerical approximation. Mathematical Models and Methods in Applied Sciences, 26 (12). pp. 2203-2236. ISSN 1793-6314

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.

Book Section

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.

Bornemann, F. A. and Lasser, C. and Swart, T. (2006) Energy Level Crossings in Molecular Dynamics. In: Analysis, Modeling and Simulation of Multiscale Problems. Springer, Berlin, pp. 577-594.

Conference or Workshop Item

Walter, J. and Schütte, Ch. (2006) Conditional Averaging for Diffusive Fast-Slow Systems: A Sketch for Derivation. In: Analysis, Modeling and Simulation of Multiscale Problems.

Dellnitz, M. and Molo, M. and Metzner, Ph. and Preis, R. and Schütte, Ch. (2006) Graph Algorithms for Dynamical Systems. In: Analysis, Modeling and Simulation of Multiscale Problems.

Cohen, D. and Jahnke, T. and Lorenz, K. and Lubich, Ch. (2006) Numerical Integrators for Highly Oscillatory Hamiltonian Systems: A Review. In: Analysis, Modeling and Simulation of Multiscale Problems.