Entropy Methods for the Boltzmann Equation / Lecture Notes in Mathematics Bd.1916 (PDF)

Name: Entropy Methods for the Boltzmann Equation / Lecture Notes in Mathematics Bd.1916
Brand: Springer-Verlag GmbH
SKU: 100344299
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Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 (Sprache: Englisch)

Autoren: Fraydoun Rezakhanlou , Cédric Villani

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Entropy Methods for the Boltzmann Equation / Lecture Notes in Mathematics Bd.1916, Fraydoun Rezakhanlou, Cédric Villani

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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...

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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.

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Autoren: Fraydoun Rezakhanlou , Cédric Villani
2007, 2008, 113 Seiten, Englisch
Herausgegeben: François Golse, Stefano Olla
Verlag: Springer-Verlag GmbH
ISBN-10: 3540737057
ISBN-13: 9783540737056
Erscheinungsdatum: 22.12.2007

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Grösse: 1.16 MB
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From the reviews:“This nice book is based on two courses given, respectively, by Fraydoun Rezakhanlou and Cédric Villani at the Centre Émile Borel of the Institut Henri Poincaré in a special semester organized in the fall term of 2001 by Francois Golse and Stefano Olla. … discusses many extensions, open questions and perspectives which should be valuable for many researchers in the field of the Boltzmann equation. … This book … will be useful to all mathematicians interested in entropy methods.” (Clément Mouhot, Mathematical Reviews, Issue 2010 h)

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