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Limit relations for three simple hyperbolic systems of conservation laws

文献类型：期刊论文

作者Shen, Chun1,2; Sun, Meina1,2; Wang, Zhen2
刊名MATHEMATICAL METHODS IN THE APPLIED SCIENCES
出版日期2010-07-30
卷号33期号:11页码:1317-1330
关键词delta shock wave measure solution transport equations Euler equations the magnetohydrodynamics equations Riemann problem hyperbolic conservation laws
产权排序第二
英文摘要This paper is concerned with the limit relations from the Euler equations of one-dimensional compressible fluid flow and the magnetohydrodynamics equations to the simplified transport equations, where the delta-shock waves occur in their Riemann solutions of the latter two equations. The objective is to prove that the Riemann solutions of the perturbed equations coming from the one-dimensional simplified Euler equations and the magnetohydrodynamics equations converge to the corresponding Riemann solutions of the simplified transport equations as the perturbation parameterx epsilon tends to zero. Furthermore, the result can also be generalized to more general situations. Copyright (C) 2009 John Wiley & Sons, Ltd.
WOS标题词Science & Technology ; Physical Sciences
学科主题非线性偏微分方程
类目[WOS]Mathematics, Applied
研究领域[WOS]Mathematics
关键词[WOS]DELTA-SHOCK-WAVES ; RELATIVISTIC EULER EQUATIONS ; VANISHING PRESSURE LIMITS ; VACUUM STATES ; EXISTENCE ; FLUIDS
收录类别SCI
语种英语
WOS记录号WOS:000280043600005
源URL[http://ir.wipm.ac.cn/handle/112942/2047]  
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, Phys Math Lab, Wuhan 430071, Peoples R China
推荐引用方式
GB/T 7714		 Shen, Chun,Sun, Meina,Wang, Zhen. Limit relations for three simple hyperbolic systems of conservation laws[J]. MATHEMATICAL METHODS IN THE APPLIED SCIENCES,2010,33(11):1317-1330.
APA Shen, Chun,Sun, Meina,&Wang, Zhen.(2010).Limit relations for three simple hyperbolic systems of conservation laws.MATHEMATICAL METHODS IN THE APPLIED SCIENCES,33(11),1317-1330.
MLA Shen, Chun,et al."Limit relations for three simple hyperbolic systems of conservation laws".MATHEMATICAL METHODS IN THE APPLIED SCIENCES 33.11(2010):1317-1330.

入库方式： OAI收割

来源：武汉物理与数学研究所

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