Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics

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	Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics
	Dai, ZH ; Zhang, T
	2000
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	155 期号:4 页码:277-298
摘要	The Goursat problem of a mixed type equation (P - xi (2))P(xi xi) - 2 xi etaP(xi eta) + (P - eta (2)) P(eta eta) + 1/P (xi P(xi) + eta P(eta))(2) - 2(xi P(xi) + etaP(eta)) = 0, P greater than or equal to 0, is considered. At the ends of its supports we have P = 0, which means it is degenerate hyperbolic. We prove the global existence of a smooth solution to the degenerate Goursat problem up to a boundary where P = 0. This problem comes from the expansion of a wedge of gas with constant velocity into vacuum, in two-dimensional pressure-gradient equations in gas dynamics, where P is the pressure and P = 0 means vacuum.
语种	英语
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000166070800002
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/15353
专题	中国科学院数学与系统科学研究院
通讯作者	Dai, ZH
作者单位	1.Inst Appl Phys & Computat Math, Lab Computat Phys, Beijing 100080, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Dai, ZH,Zhang, T. Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2000,155(4):277-298.
APA	Dai, ZH,&Zhang, T.(2000).Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,155(4),277-298.
MLA	Dai, ZH,et al."Existence of a global smooth solution for a degenerate Goursat problem of gas dynamics".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 155.4(2000):277-298.