GLOBAL WELL-POSEDNESS OF THE RELATIVISTIC BOLTZMANN EQUATION

doi:10.1137/17M112600X

CORC > 数学与系统科学研究院 > 中国科学院数学与系统科学研究院 > 应用数学研究所

	GLOBAL WELL-POSEDNESS OF THE RELATIVISTIC BOLTZMANN EQUATION
	Wang, Yong1,2
刊名	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
	2018
卷号	50 期号:5 页码:5637-5694
关键词	relativistic Boltzmann equation relativistic Maxwellian Lorentz transformation asymptotic behavior large amplitude oscillations
ISSN号	0036-1410
DOI	10.1137/17M112600X
英文摘要	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.
资助项目	NSFC[11771429] ; NSFC[11671237] ; NSFC[11688101]
WOS研究方向	Mathematics
语种	英语
出版者	SIAM PUBLICATIONS
WOS记录号	WOS:000448741300031
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/31637]
专题	应用数学研究所
通讯作者	Wang, Yong
作者单位	1.Univ Chinese Acad Sci, Huairou 101488, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, 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.