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Generalized solutions of a kinetic granular media equation by a gradient flow approach

hal.structure.identifierPacific Institut for Mathematical Sciences [PIMS]
dc.contributor.authorAgueh, Martial*
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorCarlier, Guillaume*
dc.date.accessioned2017-11-03T12:22:25Z
dc.date.available2017-11-03T12:22:25Z
dc.date.issued2015-06
dc.identifier.issn0944-2669
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16909
dc.language.isoenen
dc.subjectKinetic models of granular mediaen
dc.subjectproduct Wasserstein spaceen
dc.subjectGradient flowsen
dc.subject.ddc515en
dc.titleGeneralized solutions of a kinetic granular media equation by a gradient flow approachen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider a one-dimensional kinetic model of granular media in the case where the interaction potential is quadratic. Taking advantage of a simple first integral, we can use a reformulation (equivalent to the initial kinetic model for classical solutions) which allows measure solutions. This reformulation has a Wasserstein gradient flow structure (on a possibly infinite product of spaces of measures) for a convex energy which enables us to prove global in time well-posedness.en
dc.relation.isversionofjnlnameCalculus of Variations and Partial Differential Equations
dc.relation.isversionofjnlvol55en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate2016-03
dc.relation.isversionofdoi10.1007/s00526-016-0978-7en
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01164843en
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingnonen
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewedouien
dc.relation.Isversionofjnlpeerreviewedouien
dc.date.updated2017-11-03T12:18:50Z
hal.author.functionaut
hal.author.functionaut


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