Variational approach to coarse-graining of generalized gradient flows

DOI10.1007/s00526-017-1186-9zbMath1444.35107arXiv1507.03207OpenAlexW2148146773WikidataQ59528577 ScholiaQ59528577MaRDI QIDQ2406064

Manh Hong Duong, Upanshu Sharma, Agnes Lamacz, Mark Adriaan Peletier

Publication date: 26 September 2017

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1507.03207

zbMATH Keywords

variational techniquecoarse-graining and passing to a limitone and many degrees of freedomoverdamped limit of Vlasov-Fokker-Planck equationsmall-noise limit of randomly perturbed Hamiltonian systems

Mathematics Subject Classification ID

Singular perturbations in context of PDEs (35B25) Initial-boundary value problems for second-order parabolic equations (35K20) Methods involving semicontinuity and convergence; relaxation (49J45) Large deviations (60F10) Problems involving a system of particles with friction (70F40) Second-order parabolic equations (35K10) Singular parabolic equations (35K67) Variational principles of physics (49S99)

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