Incompressible limit of solutions of multidimensional steady compressible Euler equations

doi:10.1007/s00033-016-0629-z

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	Incompressible limit of solutions of multidimensional steady compressible Euler equations
	Chen, Gui-Qiang G.1,2,3; Huang, Feimin1 ; Wang, Tian-Yi 1,3,4,5,6; Xiang, Wei 1,7
	2016-06-01
发表期刊	ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK
ISSN	0044-2275
卷号	67 期号:3 页码:18
摘要	A compactness framework is formulated for the incompressible limit of approximate solutions with weak uniform bounds with respect to the adiabatic exponent for the steady Euler equations for compressible fluids in any dimension. One of our main observations is that the compactness can be achieved by using only natural weak estimates for the mass conservation and the vorticity. Another observation is that the incompressibility of the limit for the homentropic Euler flow is directly from the continuity equation, while the incompressibility of the limit for the full Euler flow is from a combination of all the Euler equations. As direct applications of the compactness framework, we establish two incompressible limit theorems for multidimensional steady Euler flows through infinitely long nozzles, which lead to two new existence theorems for the corresponding problems for multidimensional steady incompressible Euler equations.
关键词	Multidimensional Incompressible limit Steady flow Euler equations Compressible flow Full Euler flow Homentropic flow Compactness framework Strong convergence
DOI	10.1007/s00033-016-0629-z
语种	英语
资助项目	UK EPSRC Science and Innovation Award[EP/E035027/1] ; UK EPSRC Award[EP/L015811/1] ; Royal Society-Wolfson Research Merit Award ; National Center for Mathematics and Interdisciplinary Sciences ; AMSS ; CAS ; NSFC[11371349] ; NSFC[11371064] ; China Scholarship Council[201204910256] ; CityU Start-Up Grant for New Faculty[7200429] ; Hong Kong under GRF/ECS Grant[9048045 (CityU 21305215)]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied
WOS记录号	WOS:000378940400041
出版者	SPRINGER BASEL AG
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/23081
专题	应用数学研究所
通讯作者	Chen, Gui-Qiang G.
作者单位	1.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 3.Univ Oxford, Math Inst, Radcliffe Observ Quarter, Woodstock Rd, Oxford OX2 6GG, England 4.Wuhan Univ Technol, Dept Math, Sch Sci, Wuhan 430070, Hubei, Peoples R China 5.Gran Sasso Sci Inst, Viale Francesco Crispi 7, I-67100 Laquila, Italy 6.Chinese Univ Hong Kong, Inst Math Sci, Shatin, Hong Kong, Peoples R China 7.City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R China
推荐引用方式 GB/T 7714	Chen, Gui-Qiang G.,Huang, Feimin,Wang, Tian-Yi,et al. Incompressible limit of solutions of multidimensional steady compressible Euler equations[J]. ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,2016,67(3):18.
APA	Chen, Gui-Qiang G.,Huang, Feimin,Wang, Tian-Yi,&Xiang, Wei.(2016).Incompressible limit of solutions of multidimensional steady compressible Euler equations.ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK,67(3),18.
MLA	Chen, Gui-Qiang G.,et al."Incompressible limit of solutions of multidimensional steady compressible Euler equations".ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK 67.3(2016):18.