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

文献类型：期刊论文

作者Liu, Shuangqian1; Xiao, Qinghua2
刊名KINETIC AND RELATED MODELS
出版日期2016-09-01
卷号9期号:3页码:515-550
关键词Relativistic Vlasov-Maxwell-Boltzmann system large time stability coercivity time-velocity weighted energy method optimal temporal decay
英文摘要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.
WOS标题词Science & Technology ; Physical Sciences
类目[WOS]Mathematics, Applied ; Mathematics
研究领域[WOS]Mathematics
关键词[WOS]LARGE-TIME DECAY ; SOFT POTENTIALS ; ASYMPTOTIC STABILITY ; WHOLE SPACE ; EXPONENTIAL DECAY ; NEWTONIAN LIMIT ; EQUATION ; CUTOFF ; REGULARITY ; VACUUM
收录类别SCI
语种英语
WOS记录号WOS:000376485000005
源URL[http://ir.wipm.ac.cn/handle/112942/9363]  
专题武汉物理与数学研究所_数学物理与应用研究部
作者单位1.Jinan Univ, Dept Math, Guangzhou 510632, Guangdong, Peoples R China
2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan, Peoples R China
推荐引用方式
GB/T 7714		 Liu, Shuangqian,Xiao, Qinghua. THE RELATIVISTIC VLASOV-MAXWELL-BOLTZMANN SYSTEM FOR SHORT RANGE INTERACTION[J]. KINETIC AND RELATED MODELS,2016,9(3):515-550.
APA Liu, Shuangqian,&Xiao, Qinghua.(2016).THE RELATIVISTIC VLASOV-MAXWELL-BOLTZMANN SYSTEM FOR SHORT RANGE INTERACTION.KINETIC AND RELATED MODELS,9(3),515-550.
MLA Liu, Shuangqian,et al."THE RELATIVISTIC VLASOV-MAXWELL-BOLTZMANN SYSTEM FOR SHORT RANGE INTERACTION".KINETIC AND RELATED MODELS 9.3(2016):515-550.

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来源：武汉物理与数学研究所

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