Evolution of rate-independent systems A Mielke Evolutionary equations 2, 461-559, 2005 | 550 | 2005 |
Non–convex potentials and microstructures in finite–strain plasticity C Carstensen, K Hackl, A Mielke Proceedings of the royal society of London. Series A: mathematical, physical …, 2002 | 428 | 2002 |
Rate-Independent Systems: Theory and Application A Mielke, T Roubíček Applied Math. Series Vol. 193, XXII+660pp, 2015 | 387* | 2015 |
On rate-independent hysteresis models A Mielke, F Theil Nonlinear Differential Equations Applications 11 (2), 151-190, 2004 | 382 | 2004 |
A Variational Formulation of Rate-Independent Phase Transformations Using an Extremum Principle A Mielke, F Theil, VI Levitas Archive for rational mechanics and analysis 162 (2), 137-177, 2002 | 372 | 2002 |
Optimal entropy-transport problems and a new Hellinger–Kantorovich distance between positive measures M Liero, A Mielke, G Savaré Inventiones mathematicae 211 (3), 969-1117, 2018 | 327 | 2018 |
A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems A Mielke Nonlinearity 24 (4), 1329, 2011 | 311 | 2011 |
Existence results for a class of rate-independent material models with nonconvex elastic energies G Francfort, A Mielke Journal für Reine und Angewandte Mathematik (Crelle) 2006 (595), 55-91, 2006 | 268 | 2006 |
Existence results for energetic models for rate-independent systems A Mainik, A Mielke Calculus of Variations and Partial Differential Equations 22 (1), 73-100, 2005 | 260 | 2005 |
The validity of modulation equations for extended systems with cubic nonlinearities P Kirrmann, G Schneider, A Mielke Proceedings of the Royal Society of Edinburgh Section A: Mathematics 122 (1 …, 1992 | 251 | 1992 |
Reduction of quasilinear elliptic equations in cylindrical domains with applications A Mielke Mathematical methods in the applied sciences 10 (1), 51-66, 1988 | 248 | 1988 |
Hamiltonian and Lagrangian flows on center manifolds. With applications to elliptic variational problems. A Mielke Lecture notes in mathematics 1489, X+140, 1991 | 247* | 1991 |
Γ-limits and relaxations for rate-independent evolutionary problems A Mielke, T Roubíček, U Stefanelli Calculus of Variations and Partial Differential Equations 31 (3), 387-416, 2008 | 237 | 2008 |
Attractors for modulation equations on unbounded domains-existence and comparison A Mielke, G Schneider Nonlinearity 8 (5), 743, 1995 | 233 | 1995 |
A mathematical model for rate-independent phase transformations with hysteresis A Mielke, F Theil Proceedings of the Workshop on “Models of Continuum Mechanics in Analysis …, 1999 | 219 | 1999 |
Energetic formulation of multiplicative elasto-plasticity using dissipation distances A Mielke Continuum Mechanics and Thermodynamics 15 (4), 351-382, 2003 | 217 | 2003 |
On the relation between gradient flows and the large-deviation principle, with applications to Markov chains and diffusion A Mielke, MA Peletier, DRM Renger Potential Analysis 41, 1293-1327, 2014 | 187 | 2014 |
The Ginzburg-Landau equation in its role as a modulation equation A Mielke Handbook of dynamical systems 2, 759-834, 2002 | 185 | 2002 |
Geodesic convexity of the relative entropy in reversible Markov chains A Mielke Calculus of Variations and Partial Differential Equations 48, 1-31, 2013 | 176 | 2013 |
On the rate-independent limit of systems with dry friction and small viscosity MA Efendiev, A Mielke Journal of Convex Analysis 13 (1), 151, 2006 | 173 | 2006 |