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METASTABILITY RESULTS FOR A CLASS OF LINEAR BOLTZMANN EQUATIONS

hal.structure.identifierInstitut de Mathématiques de Bordeaux [IMB]
dc.contributor.authorNORMAND, Thomas
dc.date.accessioned2024-04-04T02:41:20Z
dc.date.available2024-04-04T02:41:20Z
dc.identifier.urihttps://oskar-bordeaux.fr/handle/20.500.12278/191143
dc.description.abstractEnWe consider a semiclassical linear Boltzmann model with a non local collision operator. We provide sharp spectral asymptotics for the small spectrum in the low temperature regime from which we deduce the rate of return to equilibrium as well as a metastability result. The main ingredients are resolvent estimates obtained via hypocoercive techniques and the construction of sharp Gaussian quasimodes through an adaptation of the WKB method.
dc.description.sponsorshipAnalyse Quantitative de Processus Metastables - ANR-19-CE40-0010
dc.language.isoen
dc.title.enMETASTABILITY RESULTS FOR A CLASS OF LINEAR BOLTZMANN EQUATIONS
dc.typeDocument de travail - Pré-publication
dc.subject.halMathématiques [math]/Equations aux dérivées partielles [math.AP]
dc.subject.halMathématiques [math]/Théorie spectrale [math.SP]
dc.subject.halMathématiques [math]/Physique mathématique [math-ph]
bordeaux.hal.laboratoriesInstitut de Mathématiques de Bordeaux (IMB) - UMR 5251*
bordeaux.institutionUniversité de Bordeaux
bordeaux.institutionBordeaux INP
bordeaux.institutionCNRS
hal.identifierhal-03674782
hal.version1
hal.origin.linkhttps://hal.archives-ouvertes.fr//hal-03674782v1
bordeaux.COinSctx_ver=Z39.88-2004&rft_val_fmt=info:ofi/fmt:kev:mtx:journal&rft.au=NORMAND,%20Thomas&rft.genre=preprint


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