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dc.contributor.authorMouhot, Clément
HAL ID: 1892
dc.contributor.authorMischler, Stéphane
dc.date.accessioned2010-01-18T09:14:49Z
dc.date.available2010-01-18T09:14:49Z
dc.date.issued2009
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/2993
dc.language.isoenen
dc.subjectspectrumen
dc.subjectdegenerated perturbationen
dc.subjectelastic limiten
dc.subjectsmall inelasticityen
dc.subjectstabilityen
dc.subjectuniquenessen
dc.subjectstationary solutionen
dc.subjecthard spheresen
dc.subjectrandom forcingen
dc.subjectinelastic Boltzmann equationen
dc.subjectgranular gasesen
dc.subject.ddc519en
dc.titleStability, convergence to the steady state and elastic limit for the Boltzmann equation for diffusively excited granular mediaen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenWe consider a space-homogeneous gas of {\it inelastic hard spheres}, with a {\it diffusive term} representing a random background forcing (in the framework of so-called {\em constant normal restitution coefficients} $\alpha \in [0,1]$ for the inelasticity). In the physical regime of a small inelasticity (that is $\alpha \in [\alpha_*,1)$ for some constructive $\alpha_* \in [0,1)$) we prove uniqueness of the stationary solution for given values of the restitution coefficient $\alpha \in [\alpha_*,1)$, the mass and the momentum, and we give various results on the linear stability and nonlinear stability of this stationary solution.en
dc.relation.isversionofjnlnameDiscrete and Continuous Dynamical Systems. Series A
dc.relation.isversionofjnlvol24
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2009-05
dc.relation.isversionofjnlpages159-185
dc.relation.isversionofdoihttp://dx.doi.org/10.3934/dcds.2009.24.159
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00193200/en/en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherAmerican Institute of Mathematical Sciences
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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