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100   $a20220820d2008      uy             0
101 0 $aeng
135   $aurnn|008mamaa
181   $ctxt
182   $cc
183   $acr
200 10$aEntropy methods for the Boltzmann equation $electures from a special semester at the Centre E?mile Borel, Institut H. Poincare?, Paris, 2001 /$fFraydoun Rezakhanlou, Ce?dric Villani ; editors, Franc?ois Golse, Stefano Olla
205   $a1st ed. 2008.
210  1$aBerlin ;$aHeidelberg ;$aNew York :$cSpringer,$d[2008]
210  4$d©2008
215   $a1 online resource (XII, 113 p.) 
225 1 $aLecture notes in mathematics ;$v1916
300   $aBibliographic Level Mode of Issuance: Monograph
311   $a3-540-73704-9 
320   $aIncludes bibliographical references and index.
330   $aEntropy and entropy production have recently become mathematical tools for kinetic and hydrodynamic limits, when deriving the macroscopic behaviour of systems from the interaction dynamics of their many microscopic elementary constituents at the atomic or molecular level. During a special semester on Hydrodynamic Limits at the Centre Émile Borel in Paris, 2001 two of the research courses were held by C. Villani and F. Rezakhanlou. Both illustrate the major role of entropy and entropy production in a mutual and complementary manner and have been written up and updated for joint publication. Villani describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields, including information theory, logarithmic Sobolev inequalities and fluid mechanics. Rezakhanlou discusses four conjectures for the kinetic behaviour of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.
410  0$aLecture notes in mathematics (Springer-Verlag) ;$v1916.
606   $aTransport theory
615  0$aTransport theory.
676   $a530.138
700   $aRezakhanlou$b Fraydoun$0472514
702   $aVillani$b Ce?dric$f1973-
702   $aGolse$b Franc?ois
702   $aOlla$b Stefano$f1959-
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910484163003321
996   $aEntropy methods for the Boltzmann equation$9230592
997   $aUNINA