Entropy Methods for the Boltzmann Equation

Entropy Methods for the Boltzmann Equation pdf epub mobi txt 电子书 下载 2025

出版者:Springer
作者:Rezakhanlou, Fraydoun/ Villani, Cedric/ Golse, Francois (EDT)/ Olla, Stefano (EDT)
出品人:
页数:124
译者:
出版时间:2007-12
价格:436.00元
装帧:
isbn号码:9783540737049
丛书系列:Lecture Notes in Mathematics
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 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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