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dc.contributor.authorTristani, Isabelle*
dc.date.accessioned2014-04-03T11:34:51Z
dc.date.available2014-04-03T11:34:51Z
dc.date.issued2014
dc.identifier.issn0022-4715
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/13052
dc.language.isoenen
dc.subjectdissipativity
dc.subjectBoltzmann equation without cut-off
dc.subjectlong-time asymptotic
dc.subjectexponential rate of convergence
dc.subjecthard potentials
dc.subjectspectral gap
dc.subject.ddc515en
dc.titleExponential convergence to equilibrium for the homogeneous Boltzmann equation for hard potentials without cut-off
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenThis paper deals with the long time behavior of solutions to the spatially homogeneous Boltzmann equation. The interactions considered are the so-called (non cut-off with a moderate angular singularity and non mollified) hard potentials. We prove an exponential in time convergence towards the equilibrium, improving results of Villani (Commun Math Phys 234(3): 455–490, 2003) where a polynomial decay to equilibrium is proven. The basis of the proof is the study of the linearized equation for which we prove a new spectral gap estimate in a L1 space with a polynomial weight by taking advantage of the theory of enlargement of the functional space for the semigroup decay developed by Gualdani et al. (http://hal.archives-ouvertes.fr/ccsd-00495786, 2013). We then get our final result by combining this new spectral gap estimate with bilinear estimates on the collisional operator that we establish.
dc.relation.isversionofjnlnameJournal of Statistical Physics
dc.relation.isversionofjnlvol157
dc.relation.isversionofjnlissue3
dc.relation.isversionofjnldate2014
dc.relation.isversionofjnlpages474-496
dc.relation.isversionofdoihttp://dx.doi.org/10.1007/s10955-014-1066-z
dc.relation.isversionofjnlpublisherKluwer Academic Publishers etc.
dc.subject.ddclabelAnalyseen
dc.description.submittednonen
dc.description.ssrncandidatenon
dc.description.halcandidateoui
dc.description.readershiprecherche
dc.description.audienceInternational
dc.relation.Isversionofjnlpeerreviewedoui
dc.date.updated2018-01-22T09:55:35Z
hal.person.labIds60*


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