Variational Methods for Evolution

  • Alexander Mielke

    Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
  • Felix Otto

    MPI für Mathematik in den Naturwissenschaften, Leipzig, Germany
  • Giuseppe Savaré

    Università di Pavia, Italy
  • Ulisse Stefanelli

    Università di Pavia, Italy

Abstract

The meeting focused on the last advances in the applications of variational methods to evolution problems governed by partial differential equations. The talks covered a broad range of topics, including large deviation and variational principles, rate-independent evolutions and gradient flows, heat flows in metric-measure spaces, propagation of fracture, applications of optimal transport and entropy-entropy dissipation methods, phase-transitions, viscous approximation, and singular-perturbation problems.

Cite this article

Alexander Mielke, Felix Otto, Giuseppe Savaré, Ulisse Stefanelli, Variational Methods for Evolution. Oberwolfach Rep. 8 (2011), no. 4, pp. 3145–3216

DOI 10.4171/OWR/2011/55