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dc.contributor.authorBen Abdallah, Naoufel
dc.contributor.authorDolbeault, Jean
dc.date.accessioned2011-05-13T07:42:43Z
dc.date.available2011-05-13T07:42:43Z
dc.date.issued2003
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6274
dc.language.isoenen
dc.subjectKinetic equationsen
dc.subjectVlasov-Poisson systemen
dc.subjectBoltzmann equationen
dc.subjectcollision kernelsen
dc.subjectirreversibilityen
dc.subjectH-Theoremen
dc.subjectinjection boundary conditionsen
dc.subjectdiffusive boundary conditionsen
dc.subjectrelative entropyen
dc.subjectlarge time asymptoticsen
dc.subjectuniquenessen
dc.subjectstationary solutionsen
dc.subjectminimization under constraintsen
dc.subjectnonlinear stabilityen
dc.subjectCasimir energyen
dc.subjectBolza problemen
dc.subjectplasmasen
dc.subjectsemi-conductorsen
dc.subject.ddc515en
dc.titleRelative Entropies for Kinetic Equations in Bounded Domains (Irreversibility, Stationary Solutions, Uniqueness)en
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThe relative entropy method describes the irreversibility of the Vlasov-Poisson and VlasovBoltzmann -Poisson systems in bounded domains with incoming boundary conditions. Uniform in time estimates are deduced from the entropy. In some cases, these estimates are sufficient to prove the convergence of the solution to a unique stationary solution, as time goes to infinity. The method is also used to analyze other types of boundary conditions such as mass and energy preserving diffuse reflection boundary conditions, and to prove the uniqueness of stationary solutions for some special collision terms.en
dc.relation.isversionofjnlnameArchive for Rational Mechanics and Analysis
dc.relation.isversionofjnlvol168en
dc.relation.isversionofjnlissue4en
dc.relation.isversionofjnldate2003
dc.relation.isversionofjnlpages253-298en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s00205-002-0239-0en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherSpringeren
dc.subject.ddclabelAnalyseen


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