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dc.contributor.authorRodriguez Ricard, Mariano
dc.contributor.authorMouhot, Clément
HAL ID: 1892
dc.contributor.authorMischler, Stéphane
dc.date.accessioned2009-07-08T09:48:09Z
dc.date.available2009-07-08T09:48:09Z
dc.date.issued2006
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/949
dc.language.isoenen
dc.subjectcooling process
dc.subjectOrlicz spaces
dc.subjectCauchy problem
dc.subjectvariable restitution coefficient
dc.subjecthard spheres
dc.subjectinelastic Boltzmann equationen
dc.subject.ddc519en
dc.titleCooling process for inelastic Boltzmann equations for hard spheres, Part I: The Cauchy problemen
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherUniversidad de la Habana;Cuba
dc.description.abstractenWe develop the Cauchy theory of the spatially homogeneous inelastic Boltzmann equation for hard spheres, for a general form of collision rate which includes in particular variable restitution coefficients depending on the kinetic energy and the relative velocity as well as the sticky particles model. We prove (local in time) non-concentration estimates in Orlicz spaces, from which we deduce weak stability and existence theorem. Strong stability together with uniqueness and instantaneous appearance of exponential moments are proved under additional smoothness assumption on the initial datum, for a restricted class of collision rates. Concerning the long-time behaviour, we give conditions for the cooling process to occur or not in finite time.en
dc.relation.isversionofjnlnameJournal of Statistical Physics
dc.relation.isversionofjnlvol124en
dc.relation.isversionofjnlissue2-4en
dc.relation.isversionofjnldate2006
dc.relation.isversionofjnlpages655-702en
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s10955-006-9096-9en
dc.identifier.urlsitehttp://hal.archives-ouvertes.fr/hal-00087232/en/en
dc.description.sponsorshipprivateouien
dc.subject.ddclabelProbabilités et mathématiques appliquéesen


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