ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM

doi:10.1137/16M106964X

CSpace > 应用数学研究所

	ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM
	Huang, Feimin1,2 ; Tan, Wenke 1,3
	2017
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	49 期号:5 页码:3496-3526
摘要	In this paper, the ghost effect system modeling the ghost effect phenomena for rarefied gas is investigated. It is shown that any strong solution of the Cauchy problem moves along the direction from the low temperature part to the high part at least on a nonzero measure domain for any time. This also holds for the initial boundary value problem with additional boundary conditions. The global well-posedness of the strong solution is further obtained for the 2 dimensional ghost effect system under some conditions on the temperature, while the initial velocity could be arbitrarily large.
关键词	ghost effect system strong solution ghost effect
DOI	10.1137/16M106964X
语种	英语
资助项目	NSFC[11371349] ; NSFC[11301174]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000416766900006
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/29181
专题	应用数学研究所
通讯作者	Tan, Wenke
作者单位	1.Hunan Normal Univ, Coll Math & Comp Sci, Minist Educ China,Proc HPCSIP, Key Lab High Performance Comp & Stochast Informa, Changsha 410081, Hunan, Peoples R China 2.Hunan Normal Univ, Synerget Innovat Ctr Quantum Effect & Applicat, Changsha 410081, Hunan, Peoples R China 3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang, Feimin,Tan, Wenke. ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2017,49(5):3496-3526.
APA	Huang, Feimin,&Tan, Wenke.(2017).ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,49(5),3496-3526.
MLA	Huang, Feimin,et al."ON THE STRONG SOLUTION OF THE GHOST EFFECT SYSTEM".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 49.5(2017):3496-3526.