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Propagation of Moments and Semiclassical Limit from Hartree to Vlasov Equation

hal.structure.identifierCentre de Mathématiques Laurent Schwartz [CMLS]
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorLafleche, Laurent
dc.date.accessioned2019-02-21T10:30:01Z
dc.date.available2019-02-21T10:30:01Z
dc.date.issued2019
dc.identifier.issn0022-4715
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18475
dc.language.isoenen
dc.subjectHartree equation
dc.subjectNonlinear Schrödinger equation
dc.subjectVlasov equation
dc.subjectCoulomb interaction
dc.subjectGravitational interaction
dc.subjectSemiclassical limit
dc.subjectÉquation de Hartree
dc.subjectÉquation de Schrödinger nonlinéaire
dc.subjectÉquation de Vlasov
dc.subjectIntéraction Coulombienne
dc.subjectIntéraction gravitationnelle
dc.subjectLimite semi-classique
dc.subject.ddc519en
dc.titlePropagation of Moments and Semiclassical Limit from Hartree to Vlasov Equation
dc.title.alternativePropagation de moments et limite semi-classique de l'équation de Hartree à l'équation de Vlasov
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenIn this paper, we prove a quantitative version of the semiclassical limit from the Hartree to the Vlasov equation with singular interaction, including the Coulomb potential. To reach this objective, we also prove the propagation of velocity moments and weighted Schatten norms which implies the boundedness of the space density of particles uniformly in the Planck constant .
dc.relation.isversionofjnlnameJournal of Statistical Physics
dc.relation.isversionofjnlvol177
dc.relation.isversionofjnldate2019
dc.relation.isversionofjnlpages20–60
dc.relation.isversionofdoi10.1007/s10955-019-02356-7
dc.relation.isversionofjnlpublisherSpringer
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.ssrncandidatenon
dc.description.halcandidatenon
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2023-02-22T15:39:43Z
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