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

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 o...

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Detalhes bibliográficos
Principais autores:	Rezakhanlou, Fraydoun., Villani, Cédric., SpringerLink (Online service)
Formato:	Digital
Publicado em:
Assuntos:	Mathematics. Entropia. Distribuição (Teoria da probabilidade) Equações diferenciais parciais. Matemática.
Endereço do item:	http://dx.doi.org/10.1007/978-3-540-73705-6
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spelling	oai:localhost:123456789-1297442023-07-17T15:13:03Z Entropy Methods for the Boltzmann Equation Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 / Rezakhanlou, Fraydoun. Villani, Cédric. SpringerLink (Online service) Mathematics. Entropia. Distribuição (Teoria da probabilidade) Equações diferenciais parciais. Matemática. 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. 0 2022-10-06T07:50:11Z 2022-10-06T07:50:11Z 2008. Digital 519.722 R467e 9783540737056 197711 http://dx.doi.org/10.1007/978-3-540-73705-6 http://dx.doi.org/10.1007/978-3-540-73705-6
institution	Acervo SISBI
collection	SIGAA
topic	Mathematics. Entropia. Distribuição (Teoria da probabilidade) Equações diferenciais parciais. Matemática.
spellingShingle	Mathematics. Entropia. Distribuição (Teoria da probabilidade) Equações diferenciais parciais. Matemática. Rezakhanlou, Fraydoun. Villani, Cédric. SpringerLink (Online service) Entropy Methods for the Boltzmann Equation Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 /
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.
format	Digital
author	Rezakhanlou, Fraydoun. Villani, Cédric. SpringerLink (Online service)
author_facet	Rezakhanlou, Fraydoun. Villani, Cédric. SpringerLink (Online service)
author_sort	Rezakhanlou, Fraydoun.
title	Entropy Methods for the Boltzmann Equation Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 /
title_short	Entropy Methods for the Boltzmann Equation Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 /
title_full	Entropy Methods for the Boltzmann Equation Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 /
title_fullStr	Entropy Methods for the Boltzmann Equation Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 /
title_full_unstemmed	Entropy Methods for the Boltzmann Equation Lectures from a Special Semester at the Centre Émile Borel, Institut H. Poincaré, Paris, 2001 /
title_sort	entropy methods for the boltzmann equation lectures from a special semester at the centre émile borel, institut h. poincaré, paris, 2001 /
publishDate	2022
url	http://dx.doi.org/10.1007/978-3-540-73705-6
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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 /

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