Riemann problems for a class of coupled hyperbolic systems of conservation laws

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	Riemann problems for a class of coupled hyperbolic systems of conservation laws
	Yang, HC
	1999-12-10
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	159 期号:2 页码:447-484
摘要	We study a class of coupled hyperbolic systems of conservation laws which contain the one-dimensional zero-pressure gas dynamics as a prototypical example. The Riemann problems are solved constructively. The Riemann solutions exactly include two kinds: delta-shock wave solutions and vacuum solutions. Under the generalized Rankine-Hugoniot relation and entropy condition, all of the existence, uniqueness, and stability of solutions to viscous perturbations are proved. Two typical examples are presented finally. (C) 1999 Academic Press.
关键词	coupled hyperbolic system delta-shock waves generalized Rankine-Hugoniot relation entropy condition measure solution
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000084514000006
出版者	ACADEMIC PRESS INC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/14541
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, HC
作者单位	1.Yunnan Univ, Dept Math, Kunming 650091, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yang, HC. Riemann problems for a class of coupled hyperbolic systems of conservation laws[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,1999,159(2):447-484.
APA	Yang, HC.(1999).Riemann problems for a class of coupled hyperbolic systems of conservation laws.JOURNAL OF DIFFERENTIAL EQUATIONS,159(2),447-484.
MLA	Yang, HC."Riemann problems for a class of coupled hyperbolic systems of conservation laws".JOURNAL OF DIFFERENTIAL EQUATIONS 159.2(1999):447-484.