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dc.contributor.authorMischler, Stéphane
dc.contributor.authorFournier, Nicolas
dc.date.accessioned2013-02-28T08:39:26Z
dc.date.available2013-02-28T08:39:26Z
dc.date.issued2016
dc.identifier.issn0091-1798
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/11071
dc.language.isoenen
dc.subjectKinetic theory
dc.subjectPropagation of Chaos
dc.subjectStochastic particle systems
dc.subjectWasserstein distance
dc.subject.ddc519en
dc.titleRate of convergence of the Nanbu particle system for hard potentials and Maxwell molecules
dc.typeArticle accepté pour publication ou publié
dc.contributor.editoruniversityotherLaboratoire d'Analyse et de Mathématiques Appliquées (LAMA) http://umr-math.univ-mlv.fr/;France
dc.description.abstractenWe consider the (numerically motivated) Nanbu stochastic particle system associated to the spatially homogeneous Boltzmann equation for true hard potentials. We establish a rate of propagation of chaos of the particle system to the unique solution of the Boltzmann equation. More precisely, we estimate the expectation of the squared Wasserstein distance with quadratic cost between the empirical measure of the particle system and the solution. The rate we obtain is almost optimal as a function of the number of particles but is not uniform in time.
dc.publisher.cityParisen
dc.relation.isversionofjnlnameAnnals of Probability
dc.relation.isversionofjnlvol44
dc.relation.isversionofjnlissue1
dc.relation.isversionofjnldate2016
dc.relation.isversionofjnlpages589-627
dc.relation.isversionofdoi10.1214/14-AOP983
dc.identifier.urlsitehttps://arxiv.org/abs/1302.5810v2
dc.relation.isversionofjnlpublisherInstitute of Mathematical Statistics
dc.subject.ddclabelProbabilités et mathématiques appliquéesen
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2016-10-07T13:43:34Z


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