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dc.contributor.authorDesvillettes, Laurent
dc.contributor.authorMouhot, Clément
dc.contributor.authorVillani, Cédric
dc.date.accessioned2011-07-19T13:47:15Z
dc.date.available2011-07-19T13:47:15Z
dc.date.issued2011
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/6732
dc.language.isoenen
dc.subjectCercignani's conjectureen
dc.subjectspectral gapen
dc.subjectBoltzmann equationen
dc.subjectrelative entropyen
dc.subjectentropy productionen
dc.subjectrelaxation to equilibriumen
dc.subjectLandau equationen
dc.subjectlogarithmic Sobolev inequalityen
dc.subjectPoincaré inequalityen
dc.subject.ddc515en
dc.titleCelebrating Cercignani's conjecture for the Boltzmann equationen
dc.typeArticle accepté pour publication ou publié
dc.description.abstractenCercignani's conjecture assumes a linear inequality between the entropy and entropy production functionals for Boltzmann's nonlinear integral operator in rarefied gas dynamics. Related to the field of logarithmic Sobolev inequalities and spectral gap inequalities, this issue has been at the core of the renewal of the mathematical theory of convergence to thermodynamical equilibrium for rarefied gases over the past decade. In this review paper, we survey the various positive and negative results which were obtained since the conjecture was proposed in the 1980s.en
dc.relation.isversionofjnlnameKinetic and related models
dc.relation.isversionofjnlvol4en
dc.relation.isversionofjnlissue1en
dc.relation.isversionofjnldate2011
dc.relation.isversionofjnlpages277-294en
dc.relation.isversionofdoihttp://dx.doi.org/10.3934/krm.2011.4.277en
dc.identifier.urlsitehttp://arxiv.org/abs/1009.4006v2en
dc.description.sponsorshipprivateouien
dc.relation.isversionofjnlpublisherAmerican Institute of Mathematical Sciencesen
dc.subject.ddclabelAnalyseen


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