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hal.structure.identifierCentre de Mathématiques Laurent Schwartz [CMLS]
hal.structure.identifierInstitut Montpelliérain Alexander Grothendieck [IMAG]
dc.contributor.authorCarrapatoso, Kleber
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorDolbeault, Jean
HAL ID: 87
ORCID: 0000-0003-4234-2298
hal.structure.identifierLaboratoire de Mathématiques Jean Leray [LMJL]
hal.structure.identifierDépartement de Mathématiques et Informatique - Université de Nantes
dc.contributor.authorHérau, Frédéric
HAL ID: 746014
ORCID: 0000-0001-9832-7105
hal.structure.identifierCEntre de REcherches en MAthématiques de la DEcision [CEREMADE]
dc.contributor.authorMischler, Stéphane
hal.structure.identifierDepartment of Pure Mathematics and Mathematical Statistics [DPMMS]
dc.contributor.authorMouhot, Clément
HAL ID: 1892
hal.structure.identifierFakultät für Mathematik [Wien]
hal.structure.identifierFaculty of Mathematics [Vienna]
dc.contributor.authorSchmeiser, Christian
dc.date.accessioned2021-10-22T11:33:43Z
dc.date.available2021-10-22T11:33:43Z
dc.date.issued2021
dc.identifier.urihttps://basepub.dauphine.psl.eu/handle/123456789/22083
dc.language.isoenen
dc.subjecthypocoercivityen
dc.subjectBoltzmann equationen
dc.subjectLandau equationen
dc.subjectconfining potentialen
dc.subjectweighted Korn inequalityen
dc.subjectmicro-macro methoden
dc.subjectcommutator methoden
dc.subjectPoincaré inequalityen
dc.subject.ddc515en
dc.titleSpecial modes and hypocoercivity for linear kinetic equations with several conservation laws and a confining potentialen
dc.typeDocument de travail / Working paper
dc.description.abstractenWe study linear inhomogeneous kinetic equations with an external confining potential and a collision operator with several local conservation laws (local density, momentum and energy). We exhibit all equilibria and entropy-maximizing special modes, and we prove asymptotic exponential convergence of solutions to them with quantitative rate. This is the first complete picture of hypocoercivity and quantitative H-theorem for inhomogeneous kinetic equations in this setting.en
dc.identifier.citationpages41en
dc.relation.ispartofseriestitleCahier de recherche du CEREMADEen
dc.identifier.urlsitehttps://hal.archives-ouvertes.fr/hal-03222748en
dc.subject.ddclabelAnalyseen
dc.identifier.citationdate2021
dc.description.ssrncandidatenon
dc.description.halcandidatenonen
dc.description.readershiprechercheen
dc.description.audienceInternationalen
dc.date.updated2021-10-22T09:55:40Z
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