A gradient system with a wiggly energy and relaxed EDP-convergence
dc.bibliographicCitation.seriesTitle | WIAS Preprints | eng |
dc.bibliographicCitation.volume | 2459 | |
dc.contributor.author | Dondl, Patrick | |
dc.contributor.author | Frenzel, Thomas | |
dc.contributor.author | Mielke, Alexander | |
dc.date.accessioned | 2017-12-21T08:48:15Z | |
dc.date.available | 2019-06-28T08:10:23Z | |
dc.date.issued | 2017 | |
dc.description.abstract | If gradient systems depend on a microstructure, we want to derive a macroscopic gradient structure describing the effective behavior of the microscopic system. We introduce a notion of evolutionary Gamma-convergence that relates the microscopic energy and the microscopic dissipation potential with their macroscopic limits via Gammaconvergence. We call this notion relaxed EDP-convergence since the special structure of the dissipation functional may not be preserved under Gamma-convergence. However, by investigating the kinetic relation we derive the macroscopic dissipation potential. | eng |
dc.description.version | publishedVersion | eng |
dc.format | application/pdf | |
dc.identifier.issn | 2198-5855 | |
dc.identifier.uri | https://doi.org/10.34657/1804 | |
dc.identifier.uri | https://oa.tib.eu/renate/handle/123456789/2731 | |
dc.language.iso | eng | eng |
dc.publisher | Berlin : Weierstraß-Institut für Angewandte Analysis und Stochastik | eng |
dc.relation.doi | https://doi.org/10.20347/WIAS.PREPRINT.2459 | |
dc.relation.issn | 0946-8633 | eng |
dc.rights.license | This document may be downloaded, read, stored and printed for your own use within the limits of § 53 UrhG but it may not be distributed via the internet or passed on to external parties. | eng |
dc.rights.license | Dieses Dokument darf im Rahmen von § 53 UrhG zum eigenen Gebrauch kostenfrei heruntergeladen, gelesen, gespeichert und ausgedruckt, aber nicht im Internet bereitgestellt oder an Außenstehende weitergegeben werden. | ger |
dc.subject.ddc | 510 | eng |
dc.subject.other | Variational evolution | eng |
dc.subject.other | energy functional | eng |
dc.subject.other | dissipation potential | eng |
dc.subject.other | gradient flows | eng |
dc.subject.other | Gammaconvergence | eng |
dc.subject.other | EDP-convergence | eng |
dc.subject.other | energy-dissipation balance | eng |
dc.subject.other | homogenization | eng |
dc.title | A gradient system with a wiggly energy and relaxed EDP-convergence | eng |
dc.type | Report | eng |
dc.type | Text | eng |
tib.accessRights | openAccess | eng |
wgl.contributor | WIAS | eng |
wgl.subject | Mathematik | eng |
wgl.type | Report / Forschungsbericht / Arbeitspapier | eng |
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