DC Field | Value | Language |
---|---|---|
dc.contributor.author | Figalli, Alessio | ko |
dc.contributor.author | Kang, Moon-Jin | ko |
dc.contributor.author | Morales, Javier | ko |
dc.date.accessioned | 2020-12-18T08:50:07Z | - |
dc.date.available | 2020-12-18T08:50:07Z | - |
dc.date.created | 2020-12-18 | - |
dc.date.issued | 2018-03 | - |
dc.identifier.citation | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS, v.227, no.3, pp.869 - 896 | - |
dc.identifier.issn | 0003-9527 | - |
dc.identifier.uri | http://hdl.handle.net/10203/278718 | - |
dc.description.abstract | We consider the so-called spatially homogenous Kolmogorov-Vicsek model, a non-linear Fokker-Planck equation of self-driven stochastic particles with orientation interaction under the space-homogeneity. We prove the global existence and uniqueness of weak solutions to the equation. We also show that weak solutions exponentially converge to a steady state, which has the form of the Fisher-von Mises distribution. | - |
dc.language | English | - |
dc.publisher | SPRINGER | - |
dc.title | Global Well-posedness of the Spatially Homogeneous Kolmogorov-Vicsek Model as a Gradient Flow | - |
dc.type | Article | - |
dc.identifier.wosid | 000419766100001 | - |
dc.identifier.scopusid | 2-s2.0-85029744057 | - |
dc.type.rims | ART | - |
dc.citation.volume | 227 | - |
dc.citation.issue | 3 | - |
dc.citation.beginningpage | 869 | - |
dc.citation.endingpage | 896 | - |
dc.citation.publicationname | ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | - |
dc.identifier.doi | 10.1007/s00205-017-1176-2 | - |
dc.contributor.localauthor | Kang, Moon-Jin | - |
dc.contributor.nonIdAuthor | Figalli, Alessio | - |
dc.contributor.nonIdAuthor | Morales, Javier | - |
dc.description.isOpenAccess | N | - |
dc.type.journalArticle | Article | - |
dc.subject.keywordPlus | SELF-DRIVEN PARTICLES | - |
dc.subject.keywordPlus | ORIENTATION INTERACTION | - |
dc.subject.keywordPlus | PHASE-TRANSITIONS | - |
dc.subject.keywordPlus | DYNAMICS | - |
dc.subject.keywordPlus | LIMIT | - |
dc.subject.keywordPlus | MANIFOLDS | - |
dc.subject.keywordPlus | EQUATIONS | - |
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