STABILITY OF RAREFACTION WAVE FOR A MACROSCOPIC MODEL DERIVED FROM THE VLASOV-MAXWELL-BOLTZMANN SYSTEM

被引：0
|
作者：
黄咏婷 [1 ]
刘红霞 [2 ]
机构：
[1] Department of Mathematics, City University of Hong Kong
[2] Department of Mathematics, Jinan University
来源：
Acta Mathematica Scientia | 2018年 / 38卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Vlasov-Maxwell-Boltzmann system; rarefaction wave; energy method;
D O I：
暂无
中图分类号：
O175 [微分方程、积分方程];
学科分类号：
070104 ;
摘要：
In this article, we are concerned with the nonlinear stability of the rarefaction wave for a one-dimensional macroscopic model derived from the Vlasov-Maxwell-Boltzmann system. The result shows that the large-time behavior of the solutions coincides with the one for both the Navier-Stokes-Poisson system and the Navier-Stokes system. Both the timedecay property of the rarefaction wave profile and the influence of the electromagnetic field play a key role in the analysis.
引用
收藏
页码：857 / 888
页数：32
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