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• W2949463345 abstract "In this paper we present a variational technique that handles coarse-graining and passing to a limit in a unified manner. The technique is based on a duality structure, which is present in many gradient flows and other variational evolutions, and which often arises from a large-deviations principle. It has three main features: (A) a natural interaction between the duality structure and the coarse-graining, (B) application to systems with non-dissipative effects, and (C) application to coarse-graining of approximate solutions which solve the equation only to some error. As examples, we use this technique to solve three limit problems, the overdamped limit of the Vlasov-Fokker-Planck equation and the small-noise limit of randomly perturbed Hamiltonian systems with one and with many degrees of freedom." @default.
• W2949463345 created "2019-06-27" @default.
• W2949463345 creator A5061136500 @default.
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• W2949463345 date "2015-07-12" @default.
• W2949463345 modified "2023-09-27" @default.
• W2949463345 title "Variational approach to coarse-graining of generalized gradient flows" @default.
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