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Mathematical tools for the derivation of hydrodynamic limits

  • Laure   Saint-RaymondEmail author
Chapter
  • 1.6k Downloads
Part of the Lecture Notes in Mathematics book series (LNM, volume 1971)

In all existing works on the subject, the general strategy to derive hydrodynamic limits is to proceed by analogy, that is to recognize the structure of the expected limiting hydrodynamic model in the corresponding scaled Boltzmann equation. This explains for instance why all hydrodynamic limits are not equally understood.

The aim of this chapter is therefore to detail these analogies, focusing our attention on the point of view of functional analysis.

Keywords

Boltzmann Equation Relative Entropy Mathematical Tool Collision Operator Hydrodynamic Limit 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  1. 1.Département de Mathémtiques et ApplicationsEcole Normale SupérieureParis France

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