Two-dimensional Riemann problem for Chaplygin gas dynamics in four pieces

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	Two-dimensional Riemann problem for Chaplygin gas dynamics in four pieces
	Chen, Tingting; Qu, Aifang
刊名	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
	2017-04-01
卷号	448 期号:1 页码:580-597
关键词	Riemann problem Chaplygin gas Two-dimensional Wave structure
英文摘要	In this paper we study the two-dimensional Riemann problem for Chaplygin gas with initial data being four states, and focus on the wave structures with fewer restriction on the initial data. For the solution made up of elementary waves and the density p satisfying 0 < p < +infinity, we mainly analyse the necessary and sufficient condition on the initial data as the self -similar solution can be constructed uniquely. In particular, if the initial densities are identical, we obtain a necessary and sufficient condition concretely and construct the solution explicitly. (C) 2016 Elsevier Inc. All rights reserved.
WOS标题词	Science & Technology ; Physical Sciences
类目[WOS]	Mathematics, Applied ; Mathematics
研究领域[WOS]	Mathematics
收录类别	SCI
语种	英语
WOS记录号	WOS:000392255700031
内容类型	期刊论文
源URL	[http://ir.wipm.ac.cn/handle/112942/9957]
专题	武汉物理与数学研究所_数学物理与应用研究部
作者单位	Chinese Acad Sci, Wuhan Inst Phys & Math, Wuhan 430071, Peoples R China
推荐引用方式 GB/T 7714	Chen, Tingting,Qu, Aifang. Two-dimensional Riemann problem for Chaplygin gas dynamics in four pieces[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2017,448(1):580-597.
APA	Chen, Tingting,&Qu, Aifang.(2017).Two-dimensional Riemann problem for Chaplygin gas dynamics in four pieces.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,448(1),580-597.
MLA	Chen, Tingting,et al."Two-dimensional Riemann problem for Chaplygin gas dynamics in four pieces".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 448.1(2017):580-597.