Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws

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	Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws
	Shen, Chun 1; Sun, Meina 1,2; Wang, Zhen 2
刊名	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
	2011-10-01
卷号	74 期号:14 页码:4754-4770
关键词	Two-dimensional conservation laws Riemann problems Global structure of solutions Generalized characteristic analysis Delta shock wave
通讯作者	沈春
产权排序	第二
英文摘要	The Riemann problem for a two-dimensional nonstrictly hyperbolic system of conservation laws is considered. Without the restriction that each jump of the initial data projects one planar elementary wave, ten topologically distinct solutions are obtained by applying the method of generalized characteristic analysis. Some of these solutions involve the nonclassical waves, i.e., the delta shock wave and the delta contact discontinuity, for which we explicitly give the expressions of their strengths, locations and propagation speeds. Moreover, we demonstrate that the nature of our solutions is identical with that of solutions to the corresponding one-dimensional Cauchy problem, which provides a verification that our construction produces the correct unique global solutions. (C) 2011 Elsevier Ltd. All rights reserved.
学科主题	数学
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
关键词[WOS]	DELTA-SHOCK-WAVES ; CONSTRUCTION
收录类别	SCI
语种	英语
WOS记录号	WOS:000291243700014
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/1744]
专题	武汉物理与数学研究所_2011年以前论文发表（包括2011年）
作者单位	1.Ludong Univ, Sch Math & Informat, Yantai 264025, Peoples R China 2.Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Shen, Chun,Sun, Meina,Wang, Zhen. Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2011,74(14):4754-4770.
APA	Shen, Chun,Sun, Meina,&Wang, Zhen.(2011).Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,74(14),4754-4770.
MLA	Shen, Chun,et al."Global structure of Riemann solutions to a system of two-dimensional hyperbolic conservation laws".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 74.14(2011):4754-4770.