JournalsowrVol. 8 , No. 4DOI 10.4171/owr/2011/55

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
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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.