Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics

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	Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics
	Li, JQ ; Yang, HC
	2001-06-01
发表期刊	QUARTERLY OF APPLIED MATHEMATICS
ISSN	0033-569X
卷号	59 期号:2 页码:315-342
摘要	In this paper we study zero-pressure gas dynamics, which is a nonstrict hyperbolic system of nonlinear conservation laws with delta-shock waves in solutions. By using the generalized Rankine-Hugoniot relations to solve the Riemann problem with two pieces of constant initial data, multidimensional planar delta-shock waves dependent upon a family of one parameter are obtained. Furthermore! we choose a unique entropy solution through the process of a viscosity vanishing, and obtain a stability for delta shocks in multidimensions.
关键词	multidimensional zero-pressure gas dynamics delta-shock vacuum Riemann problem stability viscosity vanishing
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000168508500005
出版者	AMER MATHEMATICAL SOC
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/16365
专题	中国科学院数学与系统科学研究院
通讯作者	Li, JQ
作者单位	1.Acad Sinica, Inst Math, Beijing 100080, Peoples R China 2.Yunnan Univ, Dept Math, Kunming 650091, Peoples R China 3.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Li, JQ,Yang, HC. Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics[J]. QUARTERLY OF APPLIED MATHEMATICS,2001,59(2):315-342.
APA	Li, JQ,&Yang, HC.(2001).Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics.QUARTERLY OF APPLIED MATHEMATICS,59(2),315-342.
MLA	Li, JQ,et al."Delta-shocks as limits of vanishing viscosity for multidimensional zero-pressure gas dynamics".QUARTERLY OF APPLIED MATHEMATICS 59.2(2001):315-342.