Entropy Methods for the Boltzmann Equation: Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001: 1916 (Lecture Notes in Mathematics, 1916)

Fraydoun Rezakhanlou, Candeacute;dric Villani, Franandccedil;ois Golse, Stefano Olla

ISBN 10: 3540737049 / ISBN 13: 9783540737049

Published by Springer, 2007

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Seller Inventory # LU-9783540737049

Bibliographic Details

• Title: Entropy Methods for the Boltzmann Equation: Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001: 1916 (Lecture Notes in Mathematics, 1916)
• Publisher: Springer
• Publication Date: 2007
• Language: English
• ISBN 10: 3540737049
• ISBN 13: 9783540737049
• Binding: Paperback
• Edition: 2008th.
• Condition: New
• Dimensions: 15.49W x 0.74H x 23.5D centimeters 15.49 centimeters width by 0.74 centimeters height by 23.5 centimeters depth
• Weight: 215 grams

About this title

Synopsis

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.