The incompressible Navier-Stokes limit

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

At the present time, the incompressible Navier-Stokes limit is the only hydrodynamic asymptotics of the Boltzmann equation for which an optimal convergence result is known (and for which we are actually able to implement all the mathematical tools presented in the previous chapter). By “optimal”, we mean here that this convergence result
  • holds globally in time;

  • does not require any assumption on the initial velocity profle

  • does not assume any constraint on the initial thermodynamic fields;

  • takes into account boundary conditions, and describes their limiting form.


Boltzmann Equation Collision Operator Entropy Inequality Previous Chapter Spatial Regularity 
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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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