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GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE
Cao, Wentao1; Huang, Feimin2,3; Yuan, Difan4
2019
Source PublicationSIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN0036-1410
Volume51Issue:4Pages:3276-3297
AbstractWe are concerned with the global existence of entropy solutions for the compressible Euler equations describing the gas flow in a nozzle with general cross-sectional area, for both isentropic and isothermal fluids. New viscosities are delicately designed to obtain the uniform bound of approximate solutions. The vanishing viscosity method and compensated compactness framework are used to prove the convergence of approximate solutions. Moreover, the entropy solutions for both cases are uniformly bounded independent of time. No smallness condition is assumed on initial data. The techniques developed here can be applied to compressible Euler equations with general source terms.
Keywordisentropic gas flow isothermal gas flow compensated compactness uniform estimate independent of time
DOI10.1137/19M1249436
Language英语
Funding ProjectERC grant[724298] ; national Center for Mathematics and Inter-disciplinary Sciences, AMSS, CAS ; National Natural Science Foundation of China[11371349] ; National Natural Science Foundation of China[11688101] ; China Scholarship Council[201704910503]
WOS Research AreaMathematics
WOS SubjectMathematics, Applied
WOS IDWOS:000483950800015
PublisherSIAM PUBLICATIONS
Citation statistics
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/35623
Collection应用数学研究所
Corresponding AuthorYuan, Difan
Affiliation1.Univ Leipzig, Inst Math, D-04109 Leipzig, Germany
2.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China
3.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China
4.Univ Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China
Recommended Citation
GB/T 7714
Cao, Wentao,Huang, Feimin,Yuan, Difan. GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2019,51(4):3276-3297.
APA Cao, Wentao,Huang, Feimin,&Yuan, Difan.(2019).GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,51(4),3276-3297.
MLA Cao, Wentao,et al."GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 51.4(2019):3276-3297.
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