Show simple item record

dc.contributor.authorBaranger, Céline
dc.contributor.authorMouhot, Clément
dc.subjectspectral gap ; Boltzmann linearized operator ; Landau linearized operator ; geometrical properties ; explicit ; grazing collision limit ; hard potentialsen
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.isversionofjnlpublisherReal Sociedad Matemática Españolaen
dc.subject.ddclabelProbabilités et mathématiques appliquéesen

Files in this item


There are no files associated with this item.

This item appears in the following Collection(s)

Show simple item record