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dc.contributor.authorAddala, Lanoir
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLi, Xingyu
hal.structure.identifier
dc.contributor.authorLazhar Tayeb, Mohamed
dc.date.accessioned2019-10-12T12:39:56Z
dc.date.available2019-10-12T12:39:56Z
dc.date.issued2019-10
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/20110
dc.language.isoenen
dc.subjectVlasov equationen
dc.subjectFokker-Planck operatoren
dc.subjectPoisson couplingen
dc.subjectelectrostatic forcesen
dc.subjectconfinementen
dc.subjectVlasov–Poisson-Fokker–Planck systemen
dc.subjectconvergence to equilibriumen
dc.subjectlarge-time behavioren
dc.subjectrate of convergenceen
dc.subjecthypocoercivityen
dc.subjectdiffusion limiten
dc.subjectdrift-diffusion equationsen
dc.subject.ddc515en
dc.titleL2-Hypocoercivity and large time asymptotics of the linearized Vlasov-Poisson-Fokker-Planck systemen
dc.typeDocument de travail / Working paper
dc.description.abstractenThis paper is devoted to the linearized Vlasov-Poisson-Fokker-Planck system in presence of an external potential of confinement. We investigate the large time behaviour of the solutions using hypocoercivity methods and a notion of scalar product adapted to the presence of a Poisson coupling. Our framework provides estimates which are uniform in the diffusion limit. As an application, we study the one-dimensional case and prove the exponential convergence of the nonlinear Vlasov-Poisson-Fokker-Planck system without any small mass assumption.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages27en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02299535en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2019
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-10-12T12:36:11Z
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