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dc.contributor.authorBaranger, Céline
dc.contributor.authorMouhot, Clément
dc.date.accessioned2009-06-19T12:34:06Z
dc.date.available2009-06-19T12:34:06Z
dc.date.issued2005
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/374
dc.language.isoenen
dc.subjectspectral gap ; Boltzmann linearized operator ; Landau linearized operator ; geometrical properties ; explicit ; grazing collision limit ; hard potentialsen
dc.subject.ddc519en
dc.titleExplicit spectral gap estimates for the linearized Boltzmann and Landau operators with hard potentialsen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherEcole Normale Supérieure, Cachan;France
dc.description.abstractenThis paper deals with explicit spectral gap estimates for the linearized Boltzmann operator with hard potentials (and hard spheres). We prove that it can be reduced to the Maxwellian case, for which explicit estimates are already known. Such a method is constructive, does not rely on Weyl's Theorem and thus does not require Grad's splitting. The more physical idea of the proof is to use geometrical properties of the whole collision operator. In a second part, we use the fact that the Landau operator can be expressed as the limit of the Boltzmann operator as collisions become grazing in order to deduce explicit spectral gap estimates for the linearized Landau operator with hard potentials.en
dc.relation.isversionofjnlnameRevista Matematica Iberoamericana
dc.relation.isversionofjnlvol21en
dc.relation.isversionofjnldate2005
dc.relation.isversionofjnlpages819-841en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00087219/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherReal Sociedad Matemática Españolaen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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