Variational approach to coarse-graining of generalized gradient flows
| dc.contributor.author | Duong, Manh Hong | |
| dc.contributor.author | Lamacz, Agnes | |
| dc.contributor.author | Peletier, Mark A. | |
| dc.contributor.author | Sharma, Upanshu | |
| dc.date.accessioned | 2015-08-13T12:06:11Z | |
| dc.date.available | 2015-08-13T12:06:11Z | |
| dc.date.issued | 2015-08-04 | |
| dc.description.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. | en |
| dc.identifier.uri | http://hdl.handle.net/2003/34189 | |
| dc.identifier.uri | http://dx.doi.org/10.17877/DE290R-16268 | |
| dc.language.iso | en | |
| dc.subject.ddc | 610 | |
| dc.title | Variational approach to coarse-graining of generalized gradient flows | en |
| dc.type | Text | de |
| dc.type.publicationtype | preprint | en |
| dcterms.accessRights | open access |