JournalsowrVol. 11, No. 4pp. 3177–3254

Variational Methods for Evolution

  • Luigi Ambrosio

    Scuola Normale Superiore, Pisa, Italy
  • Alexander Mielke

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
  • Mark A. Peletier

    Eindhoven University of Technology, Netherlands
  • Giuseppe Savaré

    Università di Pavia, Italy
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Abstract

The workshop brought together researchers from geometry, nonlinear functional analysis, calculus of variations, partial differential equations, and stochastics around a common topic: systems whose evolution is driven by variational principles such as gradient or Hamiltonian systems.

The talks covered a wide range of topics, including variational tools such as incremental minimization approximations, Gamma convergence, and optimal transport, reaction-diffusion systems, singular perturbation and homogenization, rate-independent models for visco-plasticity and fracture, Hamiltonian and hyperbolic systems, stochastic models and new gradient structures for Markov processes or variational large-deviation principles.

Cite this article

Luigi Ambrosio, Alexander Mielke, Mark A. Peletier, Giuseppe Savaré, Variational Methods for Evolution. Oberwolfach Rep. 11 (2014), no. 4, pp. 3177–3254

DOI 10.4171/OWR/2014/57