Variational Methods for Evolution
Alexander MielkeWeierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
Felix OttoMPI für Mathematik in den Naturwissenschaften, Leipzig, Germany
Giuseppe SavaréUniversità di Pavia, Italy
Ulisse StefanelliUniversità di Pavia, Italy
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. 3145–3216DOI 10.4171/OWR/2011/55