Entropy Methods for the Boltzmann Equation

Rezakhanlou, Fraydoun; Villani, Cedric

Published by Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
ISBN 10: 3540737049 / ISBN 13: 9783540737049
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Featuring two research courses held at the Centre Emile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses four conjectures for the kinetic behavior of the hard sphere models. Editor(s): Golse, F. Series: Lecture Notes in Mathematics. Num Pages: 113 pages, biography. BIC Classification: PHS. Category: (UP) Postgraduate, Research & Scholarly. Dimension: 235 x 155 x 8. Weight in Grams: 159. . 2007. 2008th Edition. Paperback. . . . . Books ship from the US and Ireland. Bookseller Inventory #

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Featuring updated versions of two research courses held at the Centre Émile Borel in Paris in 2001, this book describes the mathematical theory of convergence to equilibrium for the Boltzmann equation and its relation to various problems and fields. It also discusses four conjectures for the kinetic behavior of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these.

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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 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.

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Title: Entropy Methods for the Boltzmann Equation
Publisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG
Book Condition: New

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Book Description Berlin, Springer, 2008., 2008. Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001. Lecture Notes in Mathematics , Vol. 1916 XII, 107 p. Softcover. Versand aus Deutschland / We dispatch from Germany via Air Mail. Einband bestoßen, daher Mängelexemplar gestempelt, sonst sehr guter Zustand. Imperfect copy due to slightly bumped cover, apart from this in very good condition. Stamped. Bookseller Inventory # 2289DB

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Fraydoun Rezakhanlou (author), Cédric Villani (author), François Golse (editor), Stefano Olla (editor)
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