Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws

CORC > 武汉物理与数学研究所 > 中国科学院武汉物理与数学研究所 > 2011年以前论文发表（包括2011年）

	Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws
	Shen, Chun ; Sun, Meina 1
刊名	NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS
	2010-11-15
卷号	73 期号:10 页码:3284-3294
关键词	Delta shock wave Delta contact discontinuity Wave interaction Riemann problem Split delta function Nonstrictly hyperbolicity
产权排序	第二
英文摘要	We prove that the Riemann solutions are stable for a nonstrictly hyperbolic system of conservation laws under local small perturbations of the Riemann initial data. The proof is based on the detailed analysis of the interactions of delta shock waves with shock waves and rarefaction waves. During the interaction process of the delta shock wave with the rarefaction wave, a new kind of nonclassical wave, namely a delta contact discontinuity, is discovered here, which is a Dirac delta function supported on a contact discontinuity and has already appeared in the interaction process for the magnetohydrodynamics equations [M. Nedeljkov and M. Oberguggenberger, Interactions of delta shock waves in a strictly hyperbolic system of conservation laws, J. Math. Anal. Appl. 344 (2008) 1143-1157]. Moreover, the global structures and large time asymptotic behaviors of the solutions are constructed and analyzed case by case. (C) 2010 Elsevier Ltd. All rights reserved.
学科主题	非线性偏微分方程
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 ; ELEMENTARY WAVES ; EQUATIONS ; TRANSPORT ; MODEL
收录类别	SCI
语种	英语
WOS记录号	WOS:000281352600013
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/2038]
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, Phys Math Lab, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Shen, Chun,Sun, Meina. Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws[J]. NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,2010,73(10):3284-3294.
APA	Shen, Chun,&Sun, Meina.(2010).Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws.NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS,73(10),3284-3294.
MLA	Shen, Chun,et al."Stability of the Riemann solutions for a nonstrictly hyperbolic system of conservation laws".NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS 73.10(2010):3284-3294.