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hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorGallouët, Thomas
HAL ID: 3710
*
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLaborde, Maxime*
hal.structure.identifierInstitut Élie Cartan de Lorraine [IECL]
dc.contributor.authorMonsaingeon, Léonard
HAL ID: 3537
*
dc.date.accessioned2019-03-26T10:53:21Z
dc.date.available2019-03-26T10:53:21Z
dc.date.issued2019
dc.identifier.issn1262-3377
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18577
dc.language.isoenen
dc.subjectWasserstein distanceen
dc.subjectFisher-Rao distanceen
dc.subject.ddc515en
dc.titleAn unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problemsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this paper, we show that unbalanced optimal transport provides a convenient framework to handle reaction and diffusion processes in a unified metric framework. We use a constructive method, alternating minimizing movements for the Wasserstein distance and for the Fisher-Rao distance, and prove existence of weak solutions for general scalar reaction-diffusion-advection equations. We extend the approach to systems of multiple interacting species, and also consider an application to a very degenerate diffusion problem involving a Gamma-limit. Moreover, some numerical simulations are included.en
dc.relation.isversionofjnlnameESAIM: Control, Optimisation and Calculus of Variations
dc.relation.isversionofjnldate2019
dc.relation.isversionofjnlpages27en
dc.relation.isversionofdoi10.1051/cocv/2018001en
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-01508911en
dc.subject.ddclabelAnalyseen
dc.relation.forthcomingouien
dc.relation.forthcomingprintnonen
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.relation.Isversionofjnlpeerreviewednonen
dc.relation.Isversionofjnlpeerreviewednonen
dc.date.updated2019-03-26T10:25:47Z
hal.author.functionaut
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