ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW

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	ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW
	Huang Feimin; Wang Tianyi; Wang Yong
刊名	ACTA MATHEMATICA SCIENTIA
	2011-11-01
卷号	31 期号:6 页码:2131-2140
关键词	multi-dimension sonic-subsonic flow steady irrotational flow compensated compactness
ISSN号	0252-9602
英文摘要	In this paper, a compensated compactness framework is established for sonic-subsonic approximate solutions to the n-dimensional (n >= 2) Euler equations for steady irrotational flow that may contain stagnation points. This compactness framework holds provided that the approximate solutions are uniformly bounded and satisfy H-loc(-1) (Omega) compactness conditions. As illustration, we show the existence of sonic-subsonic weak solution to n-dimensional (n >= 2) Euler equations for steady irrotational flow past obstacles or through an infinitely long nozzle. This is the first result concerning the sonic-subsonic limit for n-dimension (n >= 3).
资助项目	NSFC[10825102] ; National Basic Research Program of China (973 Program)[2011CB808002]
WOS研究方向	Mathematics
语种	英语
出版者	ELSEVIER SCIENCE INC
WOS记录号	WOS:000297610800005
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/11952]
专题	应用数学研究所
通讯作者	Huang Feimin
作者单位	Acad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
推荐引用方式 GB/T 7714	Huang Feimin,Wang Tianyi,Wang Yong. ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW[J]. ACTA MATHEMATICA SCIENTIA,2011,31(6):2131-2140.
APA	Huang Feimin,Wang Tianyi,&Wang Yong.(2011).ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW.ACTA MATHEMATICA SCIENTIA,31(6),2131-2140.
MLA	Huang Feimin,et al."ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW".ACTA MATHEMATICA SCIENTIA 31.6(2011):2131-2140.