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

Resource Information

The work Entropy methods for the Boltzmann equation : lectures from a special semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 represents a distinct intellectual or artistic creation found in University of Missouri Libraries. This resource is a combination of several types including: Work, Language Material, Books.

Label

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

Title remainder

lectures from a special semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001

Statement of responsibility

Fraydoun Rezakhanlou, Cédric Villani ; editors, François Golse, Stefano Olla

Creator

• Rezakhanlou, Fraydoun

Contributor

• Olla, Stefano, 1959-
• Golse, François
• Villani, Cédric, 1973-

Subject

• Entropie
• Entropy
• Entropy
• Entropy
• Entropy
• Maxwell-Boltzmann distribution law
• Maxwell-Boltzmann distribution law
• Maxwell-Boltzmann distribution law
• Maxwell-Boltzmann distribution law
• Transport theory
• Transport theory
• Transport theory
• Transport theory
• Transport, Théorie du
• Transport, Théorie du
• Entropie

Language

eng

Summary

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

Member of

• Lecture notes in mathematics (Springer-Verlag), 1916

Cataloging source

GW5XE

Dewey number

530.13/8

Illustrations

illustrations

Index

index present

Language note

English

LC call number

QC175.2

LC item number

.R49 2008eb

Literary form

non fiction

Nature of contents

• dictionaries
• bibliography

Series statement

Lecture notes in mathematics,

Series volume

1916