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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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Luigi Ambrosio, Alexander Mielke, Mark A. Peletier, Giuseppe Savaré, Variational Methods for Evolution. Oberwolfach Rep. 11 (2014), no. 4, pp. 3177–3254DOI 10.4171/OWR/2014/57