Oberwolfach Reports

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Volume 11, Issue 4, 2014, pp. 3177–3254
DOI: 10.4171/OWR/2014/57

Published online: 2015-10-29

Variational Methods for Evolution

Luigi Ambrosio[1], Alexander Mielke[2], Mark A. Peletier and Giuseppe Savaré[3]

(1) Scuola Normale Superiore, Pisa, Italy
(2) Weierstrass Institut für Angewandte Analysis und Stochastik, Berlin, Germany
(3) Università di Pavia, Italy

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.

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Ambrosio Luigi, Mielke Alexander, Peletier Mark, Savaré Giuseppe: Variational Methods for Evolution. Oberwolfach Rep. 11 (2014), 3177-3254. doi: 10.4171/OWR/2014/57