From the Boltzmann equation to the Stokes-Fourier system in a bounded domain

被引：93
作者：
Masmoudi, N
Saint-Raymond, L
机构：
[1] Courant Inst, New York, NY 10012 USA
[2] Univ Paris 06, Lab Jacques Louis Lions, F-75252 Paris 05, France
来源：
COMMUNICATIONS ON PURE AND APPLIED MATHEMATICS | 2003年 / 56卷 / 09期
关键词：
D O I：
10.1002/cpa.10095
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We prove that the renormalized solutions of the Boltzmann equation considered in a bounded domain with different types of (kinetic) boundary conditions converge to the Stokes-Fourier system with different types of (fluid) boundary conditions when the main free path goes to zero. This extends the work of F. Golse and D. Levermore [9] to the case of a bounded domain. (C) 2003 Wiley Periodicals, Inc.
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页码：1263 / 1293
页数：31
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