GLOBAL WELL-POSEDNESS OF THE RELATIVISTIC BOLTZMANN EQUATION

doi:10.1137/17M112600X

CSpace > 应用数学研究所

	GLOBAL WELL-POSEDNESS OF THE RELATIVISTIC BOLTZMANN EQUATION
	Wang, Yong1,2
	2018
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	50 期号:5 页码:5637-5694
摘要	In this paper, we prove the global existence and uniqueness of a mild solution to the relativistic Boltzmann equation both in the whole space and in torus for a class of initial data with bounded velocity-weighted L-infinity-norm and some smallness on (LxLp infinity)-L-1-norm as well as on defect mass, energy, and entropy. Moreover, the asymptotic stability of the solutions is also investigated in the case of torus.
关键词	relativistic Boltzmann equation relativistic Maxwellian Lorentz transformation asymptotic behavior large amplitude oscillations
DOI	10.1137/17M112600X
语种	英语
资助项目	NSFC[11771429] ; NSFC[11671237] ; NSFC[11688101]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000448741300031
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/31638
专题	应用数学研究所
通讯作者	Wang, Yong
作者单位	1.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Huairou 101488, Peoples R China
推荐引用方式 GB/T 7714	Wang, Yong. GLOBAL WELL-POSEDNESS OF THE RELATIVISTIC BOLTZMANN EQUATION[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2018,50(5):5637-5694.
APA	Wang, Yong.(2018).GLOBAL WELL-POSEDNESS OF THE RELATIVISTIC BOLTZMANN EQUATION.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,50(5),5637-5694.
MLA	Wang, Yong."GLOBAL WELL-POSEDNESS OF THE RELATIVISTIC BOLTZMANN EQUATION".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 50.5(2018):5637-5694.