GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE

doi:10.1137/19M1249436

CSpace > 应用数学研究所

	GLOBAL ENTROPY SOLUTIONS TO THE GAS FLOW IN GENERAL NOZZLE
	Cao, Wentao 1; Huang, Feimin2,3 ; Yuan, Difan 4
	2019
发表期刊	SIAM JOURNAL ON MATHEMATICAL ANALYSIS
ISSN	0036-1410
卷号	51 期号:4 页码:3276-3297
摘要	We 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.
关键词	isentropic gas flow isothermal gas flow compensated compactness uniform estimate independent of time
DOI	10.1137/19M1249436
语种	英语
资助项目	ERC 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研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000483950800015
出版者	SIAM PUBLICATIONS
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/35623
专题	应用数学研究所
通讯作者	Yuan, Difan
作者单位	1.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
推荐引用方式 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.