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E-book
Author Rezakhanlou, Fraydoun.

Title Entropy methods for the Boltzmann equation : lectures from a special semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 / Fraydoun Rezakhanlou, Cédric Villani ; editors, François Golse, Stefano Olla
Published Berlin ; New York : Springer, ©2008

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Description 1 online resource (xii, 107 pages) : illustrations
Series Lecture notes in mathematics, 0075-8434 ; 1916
Lecture notes in mathematics (Springer-Verlag) ; 1916.
Contents Entropy production and convergence to equilibrium -- Kinetic limits for interacting particle systems
Summary Entropy 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
Bibliography Includes bibliographical references and index
Notes English
Print version record
Subject Transport theory.
Maxwell-Boltzmann distribution law.
Entropy.
entropy.
Maxwell-Boltzmann distribution law.
Entropy.
Transport, Théorie du.
Entropie.
Transport theory.
Entropía
Teoría del transporte
Entropy
Maxwell-Boltzmann distribution law
Transport theory
Form Electronic book
Author Villani, Cédric, 1973-
Golse, François.
Olla, Stefano, 1959-
ISBN 9783540737056
3540737057
9783540737049
3540737049
1281141798
9781281141798