The Maxwell-Stefan Diffusion Limit for a Kinetic Model of Mixtures

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• 作者：Laurent Boudin (1) (2)
  B茅r茅nice Grec (2) (3)
  Francesco Salvarani (4)
  
  1. UMR 7598 ; Laboratoire Jacques-Louis Lions ; Sorbonne Universit茅s ; UPMC Univ Paris 06 ; CNRS ; 75005 ; Paris ; France
  2. EPI Reo ; INRIA-Paris-Rocquencourt ; Domaine de Voluceau ; BP105 ; 78153 ; Le Chesnay Cedex ; France
  3. UMR 8145 ; MAP5 ; Sorbonne Paris Cit茅 ; Universit茅 Paris Descartes ; 75006 ; Paris ; France
  4. Dipartimento di Matematica ; Universit脿 degli Studi di Pavia ; Via Ferrata 1 ; 27100 ; Pavia ; Italy
  
• 关键词：Diffusion limit ; Maxwell ; Stefan equations ; Boltzmann equations ; Gaseous mixture
• 刊名：Acta Applicandae Mathematicae
• 出版年：2015
• 出版时间：April 2015
• 年：2015
• 卷：136
• 期：1
• 页码：79-90
• 全文大小：478 KB
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• 刊物主题：Mathematics, general; Computer Science, general; Theoretical, Mathematical and Computational Physics; Statistical Physics, Dynamical Systems and Complexity; Mechanics;
• 出版者：Springer Netherlands
• ISSN：1572-9036

文摘

We consider the non-reactive elastic Boltzmann equation for multicomponent gaseous mixtures. We deduce, under the standard diffusive scaling, that well prepared initial conditions lead to solutions satisfying the Maxwell-Stefan diffusion equations in the vanishing Mach and Knudsen numbers limit.