Energy method for Boltzmann equation

被引：201
作者：
Liu, TP [1 ]
Yang, T
Yu, SH
机构：
[1] Acad Sinica, Math Inst, Taipei, Taiwan
[2] Stanford Univ, Dept Math, Stanford, CA USA
[3] City Univ Hong Kong, Dept Math, Hong Kong, Hong Kong, Peoples R China
来源：
PHYSICA D-NONLINEAR PHENOMENA | 2004年 / 188卷 / 3-4期
基金：
美国国家科学基金会;
关键词：
Boltzmann equation; H-theorem; Maxwellian states; macro-micro decomposition;
D O I：
10.1016/j.physd.2003.07.011
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
A basic, simple energy method for the Boltzmann equation is presented here. It is based on a new macro-micro decomposition of the Boltzmann equation as well as the H-theorem. This allows us to make use of the ideas from hyperbolic conservation laws and viscous conservation laws to yield the direct energy method. As an illustration, we apply the method for the study of the time-asymptotic, nonlinear stability of the global Maxwellian states. Previous energy method, starting with Grad and finishing with Ukai, involves the spectral analysis and regularity of collision operator through sophisticated weighted norms. (C) 2003 Elsevier B.V. All rights reserved.
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页码：178 / 192
页数：15
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