Global solution of an initial-value problem for two-dimensional compressible Euler equations

doi:10.1006/jdeq.2001.4025

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	Global solution of an initial-value problem for two-dimensional compressible Euler equations
	Li, JQ
	2002-02-10
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	179 期号:1 页码:178-194
摘要	This paper is concerned with the existence of global continuous solutions of the expansion of a wedge of gas into a vacuum for compressible Euler equations. By hodograph transformation, we first prove that the flow is governed by a partial differential equation of second order, which is further reduced to a system of two nonhomogeneous linearly degenerate equations in the phase space under an irrotationality condition. Then this conclusion is applied to solving the problem that a wedge of gas expands into a vacuum, which is actually a Goursat-type problem for these two equations in the supersonic domain. (C) 2002 Elsevier Science.
关键词	two-dimensional gas expansion compressible Euler equations the existence of global continuous solutions linearly degenerate equations rarefaction waves
DOI	10.1006/jdeq.2001.4025
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000174237800006
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/17418
专题	中国科学院数学与系统科学研究院
通讯作者	Li, JQ
作者单位	1.Chinese Acad Sci, Math Inst, Beijing 100080, Peoples R China 2.Hebrew Univ Jerusalem, Inst Math, IL-91904 Jerusalem, Israel
推荐引用方式 GB/T 7714	Li, JQ. Global solution of an initial-value problem for two-dimensional compressible Euler equations[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2002,179(1):178-194.
APA	Li, JQ.(2002).Global solution of an initial-value problem for two-dimensional compressible Euler equations.JOURNAL OF DIFFERENTIAL EQUATIONS,179(1),178-194.
MLA	Li, JQ."Global solution of an initial-value problem for two-dimensional compressible Euler equations".JOURNAL OF DIFFERENTIAL EQUATIONS 179.1(2002):178-194.