From the Boltzmann equations to the equations of incompressible fluid mechanics, II

被引：83

作者：

Lions, PL

Masmoudi, N

机构：

[1] Univ Paris 09, CEREMADE, CNRS, UMR 7534, F-75775 Paris 16, France

[2] NYU, Courant Inst, New York, NY 10012 USA

来源：

ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS | 2001年 / 158卷 / 03期

关键词：

D O I：

10.1007/s002050100144

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We consider here the problem of deriving rigorously from renormalized solutions of Boltzmann's equation, globally in time, for general initial conditions and without any additional assumption, solutions of Stokes' equations (together with the strong Boussinesq relation). We also obtain similar results for Euler equations where, however, we need to make an assumption on the high velocities of the solutions of Boltzmann's equation.

引用

页码：195 / 211

页数：17

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