THE RELATIVISTIC VLASOV-MAXWELL-BOLTZMANN SYSTEM FOR SHORT RANGE INTERACTION

被引：5
|
作者：
Liu, Shuangqian [1 ]
Xiao, Qinghua [2 ]
机构：
[1] Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
[2] Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan, Peoples R China
来源：
KINETIC AND RELATED MODELS | 2016年 / 9卷 / 03期
基金：
中国国家自然科学基金;
关键词：
Relativistic Vlasov-Maxwell-Boltzmann system; large time stability; coercivity; time-velocity weighted energy method; optimal temporal decay; LARGE-TIME DECAY; ASYMPTOTIC STABILITY; EXPONENTIAL DECAY; NEWTONIAN LIMIT; EQUATION; CUTOFF; REGULARITY;
D O I：
10.3934/krm.2016005
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We are concerned with the Cauchy problem of the relativistic Vlasov-Maxwell-Boltzmann system for short range interaction. For perturbative initial data with suitable regularity and integrability, we prove the large time stability of solutions to the relativistic Vlasov-Maxwell-Boltzmann system, and also obtain as a byproduct the convergence rates of solutions. Our proof is based on a new time-velocity weighted energy method and some optimal temporal decay estimates on the solution itself. The results also extend the case of "hard ball" model considered by Guo and Strain [Comm. Math. Phys. 310: 49-673 (2012)] to the short range interactions.
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页码：515 / 550
页数：36
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