hal.structure.identifier | Centre de Mathématiques Laurent Schwartz [CMLS] | |
hal.structure.identifier | CEntre de REcherches en MAthématiques de la DEcision [CEREMADE] | |
dc.contributor.author | Lafleche, Laurent | |
dc.date.accessioned | 2019-02-21T10:30:01Z | |
dc.date.available | 2019-02-21T10:30:01Z | |
dc.date.issued | 2019 | |
dc.identifier.issn | 0022-4715 | |
dc.identifier.uri | https://basepub.dauphine.fr/handle/123456789/18475 | |
dc.language.iso | en | en |
dc.subject | Hartree equation | |
dc.subject | Nonlinear Schrödinger equation | |
dc.subject | Vlasov equation | |
dc.subject | Coulomb interaction | |
dc.subject | Gravitational interaction | |
dc.subject | Semiclassical limit | |
dc.subject | Équation de Hartree | |
dc.subject | Équation de Schrödinger nonlinéaire | |
dc.subject | Équation de Vlasov | |
dc.subject | Intéraction Coulombienne | |
dc.subject | Intéraction gravitationnelle | |
dc.subject | Limite semi-classique | |
dc.subject.ddc | 519 | en |
dc.title | Propagation of Moments and Semiclassical Limit from Hartree to Vlasov Equation | |
dc.title.alternative | Propagation de moments et limite semi-classique de l'équation de Hartree à l'équation de Vlasov | |
dc.type | Article accepté pour publication ou publié | |
dc.description.abstracten | In 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.isversionofjnlname | Journal of Statistical Physics | |
dc.relation.isversionofjnlvol | 177 | |
dc.relation.isversionofjnldate | 2019 | |
dc.relation.isversionofjnlpages | 20–60 | |
dc.relation.isversionofdoi | 10.1007/s10955-019-02356-7 | |
dc.relation.isversionofjnlpublisher | Springer | |
dc.subject.ddclabel | Probabilités et mathématiques appliquées | en |
dc.description.ssrncandidate | non | |
dc.description.halcandidate | non | |
dc.description.readership | recherche | |
dc.description.audience | International | |
dc.relation.Isversionofjnlpeerreviewed | oui | |
dc.date.updated | 2023-02-22T15:39:43Z | |
hal.author.function | aut | |