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Titlebook: Entropy Methods for the Boltzmann Equation; Lectures from a Spec Fraydoun Rezakhanlou,Cédric Villani,Fran?ois Golse Book 2008 Springer-Verl

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發(fā)表于 2025-3-21 17:06:53 | 只看該作者 |倒序?yàn)g覽 |閱讀模式
書目名稱Entropy Methods for the Boltzmann Equation
副標(biāo)題Lectures from a Spec
編輯Fraydoun Rezakhanlou,Cédric Villani,Fran?ois Golse
視頻videohttp://file.papertrans.cn/312/311863/311863.mp4
概述Includes supplementary material:
叢書名稱Lecture Notes in Mathematics
圖書封面Titlebook: Entropy Methods for the Boltzmann Equation; Lectures from a Spec Fraydoun Rezakhanlou,Cédric Villani,Fran?ois Golse Book 2008 Springer-Verl
描述.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..
出版日期Book 2008
關(guān)鍵詞Boltzmann equation; H Theorem; Stochastic Markov processes; entropy; interacting particle system; kinetic
版次1
doihttps://doi.org/10.1007/978-3-540-73705-6
isbn_softcover978-3-540-73704-9
isbn_ebook978-3-540-73705-6Series ISSN 0075-8434 Series E-ISSN 1617-9692
issn_series 0075-8434
copyrightSpringer-Verlag Berlin Heidelberg 2008
The information of publication is updating

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發(fā)表于 2025-3-21 21:14:22 | 只看該作者
0075-8434 conjectures for the kinetic behaviour of the hard sphere models and formulates four stochastic variations of this model, also reviewing known results for these..978-3-540-73704-9978-3-540-73705-6Series ISSN 0075-8434 Series E-ISSN 1617-9692
板凳
發(fā)表于 2025-3-22 00:41:35 | 只看該作者
Book 2008f 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 illustra
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Upper Urinary Tract Urothelial Carcinomawere the addition of a final section to present some more recent developments and open directions, and the change of the sign convention for the entropy, to agree with physical tradition. Irene Mazzella is warmly thanked for kindly typesetting a preliminary version of this manuscript.
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發(fā)表于 2025-3-22 15:52:00 | 只看該作者
Entropy Production and Convergence to Equilibrium,were the addition of a final section to present some more recent developments and open directions, and the change of the sign convention for the entropy, to agree with physical tradition. Irene Mazzella is warmly thanked for kindly typesetting a preliminary version of this manuscript.
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https://doi.org/10.1007/978-3-030-85668-7In this expository article, we discuss four conjectures concerning the kinetic behavior of the hard sphere models. We then formulate four stochastic variations of the hard sphere model. The known results for these stochastic models are reviewed and some proofs are sketched.
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發(fā)表于 2025-3-23 06:59:00 | 只看該作者
Kinetic Limits for Interacting Particle Systems,In this expository article, we discuss four conjectures concerning the kinetic behavior of the hard sphere models. We then formulate four stochastic variations of the hard sphere model. The known results for these stochastic models are reviewed and some proofs are sketched.
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