Oberwolfach Reports

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Volume 8, Issue 4, 2011, pp. 3145–3216
DOI: 10.4171/OWR/2011/55

Published online: 2012-07-25

Variational Methods for Evolution

Alexander Mielke[1], Felix Otto[2], Giuseppe Savaré[3] and Ulisse Stefanelli[4]

(1) Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
(2) MPI für Mathematik in den Naturwissenschaften, Leipzig, Germany
(3) Università di Pavia, Italy
(4) Università 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.

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Mielke Alexander, Otto Felix, Savaré Giuseppe, Stefanelli Ulisse: Variational Methods for Evolution. Oberwolfach Rep. 8 (2011), 3145-3216. doi: 10.4171/OWR/2011/55