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Entropy Methods for the Boltzmann Equation

dc.contributor.authorRezakhanlou, Fraydoun
dc.contributor.authorVillani, Cédric
dc.contributor.authorGolse, François
dc.contributor.authorOlla, Stefano
HAL ID: 18345
ORCID: 0000-0003-0845-1861
dc.date.accessioned2012-06-05T11:47:40Z
dc.date.available2012-06-05T11:47:40Z
dc.date.issued2008
dc.identifier.isbn978-3-540-73704-9
dc.identifier.urihttps://basepub.dauphine.fr/handle/123456789/9348
dc.language.isoenen
dc.subjectTransport theory
dc.subjectBoltzmann Equation
dc.subjectEntropy
dc.subject.ddc520en
dc.titleEntropy Methods for the Boltzmann Equation
dc.typeOuvrage
dc.contributor.editoruniversityotherUnité de Mathématiques Pures et Appliquées (UMPA-ENSL) http://www.umpa.ens-lyon.fr/ CNRS : UMR5669 – École Normale Supérieure - Lyon;France
dc.contributor.editoruniversityotherCentre de Mathématiques Laurent Schwartz (CMLS-EcolePolytechnique) http://www.math.polytechnique.fr CNRS : UMR7640 – Polytechnique - X;France
dc.contributor.editoruniversityotherLaboratoire Jacques-Louis Lions (LJLL) http://www.ann.jussieu.fr CNRS : UMR7598 – Université Paris VI - Pierre et Marie Curie;France
dc.description.abstractenEntropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level.During a special semester on Hydrodynamic Limits at the Centre Émile Borel in Paris, 2001 two of the research courses were held by C. Villani and F. Rezakhanlou. Both illustrate the major role of entropy and entropy production in a mutual and complementary manner and have been written up and updated for joint publication. Villani describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields, including information theory, logarithmic Sobolev inequalities and fluid mechanics. Rezakhanlou discusses four conjectures for the kinetic behaviour of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.
dc.identifier.citationpages107
dc.description.sponsorshipprivateouien
dc.subject.ddclabelSciences connexes (physique, astrophysique)en
dc.description.ssrncandidatenon
dc.description.halcandidateoui
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dc.description.audienceInternational
dc.date.updated2017-09-21T13:22:07Z


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