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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorCarlier, Guillaume
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLaborde, Maxime
dc.date.accessioned2017-11-03T14:42:07Z
dc.date.available2017-11-03T14:42:07Z
dc.date.issued2016-06
dc.identifier.issn0362-546X
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/16912
dc.language.isoenen
dc.subjectHelmholtz decompositionen
dc.subjectnonlin-ear diffusionsen
dc.subjectsplittingen
dc.subjectnonlocal driften
dc.subjectWasserstein gradient flowsen
dc.subjectJordan-Kinderlehrer-Otto schemeen
dc.subject.ddc515en
dc.titleA splitting method for nonlinear diffusions with nonlocal, nonpotential driftsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe prove an existence result for nonlinear diffusion equations in the presence of a nonlocal density-dependent drift which is not necessarily potential. The proof is constructive and based on the Helmholtz decomposition of the drift and a splitting scheme. The splitting scheme combines transport steps by the divergence-free part of the drift and semi-implicit minimization steps à la Jordan-Kinderlherer Otto to deal with the potential part.en
dc.relation.isversionofjnlnameNonlinear Analysis. Theory, Methods & Applications
dc.relation.isversionofjnlvol150en
dc.relation.isversionofjnldate2017-02
dc.relation.isversionofjnlpages1-18en
dc.relation.isversionofdoi10.1016/j.na.2016.10.026en
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01332356en
dc.relation.isversionofjnlpublisherPergamon Pressen
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.updated2017-11-03T14:38:27Z
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