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dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
dc.contributor.authorRein, Gerhard
dc.date.accessioned2011-05-13T12:31:17Z
dc.date.available2011-05-13T12:31:17Z
dc.date.issued2001
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6277
dc.language.isoenen
dc.subjectScalingsen
dc.subjectLyapunov functionalen
dc.subjectintermediate asymptoticsen
dc.subjectStrichartz estimateen
dc.subjectdispersionen
dc.subjectkinetic equationsen
dc.subjectVlasov–Poisson systemen
dc.subjectEuler–Poisson systemen
dc.subjectfluid dynamicsen
dc.subjectWigner equationen
dc.subjectSchrödinger equationen
dc.subject.ddc515en
dc.titleTime-dependent rescalings and Lyapunov functionals for the Vlasov-Poisson and Euler-Poisson systems, and for related models of kinetic equations, fluid dynamics and quantum physicsen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe investigate rescaling transformations for the Vlasov–Poisson and Euler–Poisson systems and derive in the plasma physics case Lyapunov functionals which can be used to analyze dispersion effects. The method is also used for studying the long time behavior of the solutions and can be applied to other models in kinetic theory (two-dimensional symmetric Vlasov–Poisson system with an external magnetic field), in fluid dynamics (Euler system for gases) and in quantum physics (Schrödinger–Poisson system, nonlinear Schrödinger equation).en
dc.relation.isversionofjnlnameMathematical Models and Methods in Applied Sciences
dc.relation.isversionofjnlvol11en
dc.relation.isversionofjnlissue3en
dc.relation.isversionofjnldate2001
dc.relation.isversionofjnlpages407-432en
dc.relation.isversionofdoihttp://dx.doi.org/10.1142/S021820250100091Xen
dc.identifier.urlsitehttp://arxiv.org/abs/math/9910041v1en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherWorld Scientificen
dc.subject.ddclabelAnalyseen


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