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ON MULTI-DIMENSIONAL SONIC-SUBSONIC FLOW
Huang Feimin; Wang Tianyi; Wang Yong
2011-11-01
Source PublicationACTA MATHEMATICA SCIENTIA
ISSN0252-9602
Volume31Issue:6Pages:2131-2140
AbstractIn 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).
Keywordmulti-dimension sonic-subsonic flow steady irrotational flow compensated compactness
Language英语
Funding ProjectNSFC[10825102] ; National Basic Research Program of China (973 Program)[2011CB808002]
WOS Research AreaMathematics
WOS SubjectMathematics
WOS IDWOS:000297610800005
PublisherELSEVIER SCIENCE INC
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Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/11953
Collection应用数学研究所
Corresponding AuthorHuang Feimin
AffiliationAcad Sinica, Inst Appl Math, Acad Math & Syst Sci, Beijing 100190, Peoples R China
Recommended Citation
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.
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