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Mielke Alexander
Mielke Alexander
Head of Research Group "PDE" at WIAS, Professor at Humboldt-Universität zu Berlin
Verified email at wias-berlin.de - Homepage
Title
Cited by
Cited by
Year
Evolution of rate-independent systems
A Mielke
Evolutionary equations 2, 461-559, 2005
5372005
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
4152002
On rate-independent hysteresis models
A Mielke, F Theil
Nonlinear Differential Equations and Applications NoDEA 11, 151-189, 2004
3722004
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
3622002
Rate-Independent Systems: Theory and Application
A Mielke, T Roubíček
Applied Math. Series Vol. 193, XXII+660pp, 2015
355*2015
A gradient structure for reaction–diffusion systems and for energy-drift-diffusion systems
A Mielke
Nonlinearity 24 (4), 1329, 2011
2732011
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
2632006
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
2522005
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
2472018
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
2431992
Hamiltonian and Lagrangian flows on center manifolds. With applications to elliptic variational problems.
A Mielke
Lecture notes in mathematics 1489, X+140, 1991
240*1991
Reduction of quasilinear elliptic equations in cylindrical domains with applications
A Mielke
Mathematical methods in the applied sciences 10 (1), 51-66, 1988
2371988
Attractors for modulation equations on unbounded domains-existence and comparison
A Mielke, G Schneider
Nonlinearity 8 (5), 743, 1995
2331995
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
2312008
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
2101999
Energetic formulation of multiplicative elasto-plasticity using dissipation distances
A Mielke
Continuum Mechanics and Thermodynamics 15 (4), 351-382, 2003
2082003
Rate-independent damage processes in nonlinear elasticity
A Mielke, T Roubíček
Mathematical Models and Methods in Applied Sciences 16 (02), 177-209, 2006
1712006
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
1682006
A rate-independent model for inelastic behavior of shape-memory alloys
A Mielke, T Roubícek
Multiscale Modeling & Simulation 1 (4), 571-597, 2003
1632003
Geodesic convexity of the relative entropy in reversible Markov chains
A Mielke
Calculus of Variations and Partial Differential Equations 48, 1-31, 2013
1622013
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