On two-dimensional gas expansion for pressure-gradient equations of Euler system

doi:10.1016/j.jmaa.2004.05.025

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	On two-dimensional gas expansion for pressure-gradient equations of Euler system
	Yang, HC ; Zhang, T
	2004-10-15
发表期刊	JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
ISSN	0022-247X
卷号	298 期号:2 页码:523-537
摘要	In this paper we establish the existence of global continuous solutions of gas expansion into a vacuum for the two-dimensional pressure-gradient equations in gas dynamics. Under irrotational condition, By hodograph transformation, the flow is governed by the equation (P - P(v)(2))Puu + 2PuPvPuv + (p - P(u)(2))pvv = 0, which can be further reduced to a inhomogeneous linearly degenerate system of three equations. Then the problem of the expansion of a wedge of gas into a vacuum is solved in the same way. (C) 2004 Elsevier Inc. All rights reserved.
关键词	two-dimensional gas expansion pressure-gradient equations Goursat problem irrotationality condition Euler system
DOI	10.1016/j.jmaa.2004.05.025
语种	英语
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000224183500011
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/19167
专题	中国科学院数学与系统科学研究院
通讯作者	Yang, HC
作者单位	1.Yunnan Univ, Dept Math, Kunming 650091, Peoples R China 2.Acad Sinica, Inst Math, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Yang, HC,Zhang, T. On two-dimensional gas expansion for pressure-gradient equations of Euler system[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2004,298(2):523-537.
APA	Yang, HC,&Zhang, T.(2004).On two-dimensional gas expansion for pressure-gradient equations of Euler system.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,298(2),523-537.
MLA	Yang, HC,et al."On two-dimensional gas expansion for pressure-gradient equations of Euler system".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 298.2(2004):523-537.