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Rezakhanlou, Fraydoun/ Villani, Cedric/ Golse, Francois (EDT)/ Olla, Stefano (EDT) 作者

Springer

译者

2007-12 出版日期

124 页数

436.00元价格

Lecture Notes in Mathematics 丛书系列

9783540737049 图书编码

Entropy Methods for the Boltzmann Equation 在线电子书图书标签: 物理學物理熵法国数学物理7 数学分析 Math

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Entropy Methods for the Boltzmann Equation 在线电子书 epub 下载 mobi 下载 pdf 下载 txt 下载 2024

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Entropy Methods for the Boltzmann Equation 在线电子书 pdf 下载 txt下载 epub 下载 mobi 在线电子书下载

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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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