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Stability for the gravitational Vlasov-Poisson system in dimension two

dc.contributor.authorDolbeault, Jean
dc.contributor.authorFernandez, Javier
dc.contributor.authorSanchez, Oscar
dc.date.accessioned2009-07-04T07:32:06Z
dc.date.available2009-07-04T07:32:06Z
dc.date.issued2006
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/763
dc.language.isoenen
dc.subjectVlasov-Poisson systemen
dc.subjectdynamical stability
dc.subjectDirichlet boundary conditions
dc.subjectUniqueness
dc.subjectSemilinear elliptic equations
dc.subjectLagrange multiplier
dc.subjectminimizers
dc.subjectsolutions with compact support
dc.subjectscalings
dc.subjectminimization
dc.subjectdirect variational methods
dc.subjectbounded solutions
dc.subjectRiesz' theorem
dc.subjectsymmetric nonincreasing rearrangements
dc.subjectoptimal constants
dc.subjectSobolev-Hardy-Littlewood inequality
dc.subjectinterpolation
dc.subjectpotential energy
dc.subjectkinetic energy
dc.subjectenergy
dc.subjectmass
dc.subjectgravitation
dc.subjectpolytropic gas spheres
dc.subjectstellar dynamics
dc.subject.ddc519en
dc.titleStability for the gravitational Vlasov-Poisson system in dimension twoen
dc.typeArticle accepté pour publication ou publiéen_US
dc.contributor.editoruniversityotherUniversidad de Granada, Granada;Espagne
dc.description.abstractenNous considérons en dimension deux le système de Vlasov-Poisson gravitationnel. Par des méthodes variationnelles, nous prouvons l'existence de solutions stationnaires d'énergie minimale sous une contrainte de type Casimir. La méthode donne aussi un résultat de stabilité de ces solutions pour le problème d'évolution. We consider the two dimensional gravitational Vlasov-Poisson system. Using variational methods, we prove the existence of stationary solutions of minimal energy under a Casimir type constraint. The method also provides a stability criterion of these solutions for the evolution problem.en
dc.relation.isversionofjnlnameCommunications in Partial Differential Equations
dc.relation.isversionofjnlvol31en
dc.relation.isversionofjnlissue10en
dc.relation.isversionofjnldate2006-10
dc.relation.isversionofjnlpages1425-1449en
dc.relation.isversionofdoihttp://dx.doi.org/10.1080/03605300500481517en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00004799/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherTaylor & Francis Groupen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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