Entropy methods for the Boltzmann equation : lectures from a special semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001

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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

(Lecture notes in mathematics, 1916)

Springer, c2008

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Includes bibliographical references and index

Description and Table of Contents

Description

Featuring updated versions of 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 and formulates four stochastic variations of this model, also reviewing known results for these.

Table of Contents

Entropy Production and Convergence to Equilibrium.- Kinetic Limits for Interacting Particle Systems.

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