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dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
dc.date.accessioned2011-06-08T14:42:20Z
dc.date.available2011-06-08T14:42:20Z
dc.date.issued1999
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6458
dc.language.isoenen
dc.subjectKinetic equationsen
dc.subjectFokker-Planck equationen
dc.subjectVlasov equationen
dc.subjectPoisson equationen
dc.subjectPoisson-Boltzmann-Emden equationen
dc.subjectConfinementen
dc.subjectStationary solutionsen
dc.subjectLong time asymptoticsen
dc.subjectSteady statesen
dc.subjectRenormalized solutionsen
dc.subjectA priori estimatesen
dc.subjectEntropyen
dc.subjectFree energyen
dc.subjectConfigurational free energyen
dc.subjectJensen's inequalityen
dc.subjectMarcinkiewicz spacesen
dc.subjectSemilinear elliptic equationsen
dc.subject.ddc515en
dc.titleFree energy and solutions of the Vlasov-Poisson-Fokker-Planck system: external potential and confinement (Large time behavior and steady states)en
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper is devoted to the characterization of external electrostatic potentials for which the Vlasov-Poisson-Fokker-Planck system satisfies one of the following properties: (i) the system admits stationary solutions, (ii) any solution to the evolution problem converges to a stationary solution, or, equivalently, no mass vanishes for large times, (iii) the free energy is bounded from below, We give conditions under which these different notions of confinement are equivalent.en
dc.relation.isversionofjnlnameJournal de mathématiques pures et appliquées
dc.relation.isversionofjnlvol78en
dc.relation.isversionofjnlissue2en
dc.relation.isversionofjnldate1999
dc.relation.isversionofjnlpages121-157en
dc.relation.isversionofdoihttp://dx.doi.org/10.1016/S0021-7824(01)80006-4en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherElsevieren
dc.subject.ddclabelAnalyseen


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