Show simple item record

dc.contributor.authorLafleche, Laurent
dc.date.accessioned2019-03-26T10:58:49Z
dc.date.available2019-03-26T10:58:49Z
dc.date.issued2019
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/18578
dc.language.isoenen
dc.subjectHartree equationen
dc.subjectNonlinear Schrödinger equationen
dc.subjectVlasov equationen
dc.subjectCoulomb interactionen
dc.subjectgravitational interactionen
dc.subjectsemiclassical limiten
dc.subject.ddc515en
dc.titleGlobal Semiclassical Limit from Hartree to Vlasov Equation for Concentrated Initial Dataen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe prove a quantitative and global in time semiclassical limit from the Hartree to the Vlasov equation in the case of a singular interaction potential in dimension d ≥ 3, including the case of a Coulomb singularity in dimension d = 3. This result holds for initial data concentrated enough in the sense that some space moments are initially sufficiently small. As an intermediate result, we also obtain quantitative semiclassical bounds on the space and velocity moments of even order and the asymptotic behaviour of the spatial density due to dispersion effects.en
dc.publisher.nameCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.publisher.cityParisen
dc.identifier.citationpages20en
dc.relation.ispartofseriestitleCahier de recherche CEREMADE, Université Paris-Dauphineen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-02046481en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2019-02
dc.description.ssrncandidatenonen
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2019-03-26T10:55:58Z
hal.person.labIds60


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record