ENGLISH

Entropy Methods for the Boltzmann Equation: Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001

By Fraydoun Rezakhanlou , Cédric Villani (auth.) , François Golse , Stefano Olla (eds.)

Book information

Publisher
Springer-Verlag Berlin Heidelberg
Year
2008
ISBN
3540737049, 9783540737049
DOI
10.1007/978-3-540-73705-6
Open Library ID
OL13638980M
Language
english
Format
PDF
Filesize
715 kB (732425 bytes)
Series
Lecture Notes in Mathematics 1916
Edition
1
Pages
113\121
Library
Kolxo3
Time added
2009-07-20 03:45:11
Mathematical and Computational PhysicsProbability Theory and Stochastic Processes;Partia

Description

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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