Subsonic-Sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations

doi:10.1007/s00205-015-0905-7

CSpace > 应用数学研究所

	Subsonic-Sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations
	Chen, Gui-Qiang 1,2,3; Huang, Fei-Min4 ; Wang, Tian-Yi 2,4,5
	2016-02-01
发表期刊	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
ISSN	0003-9527
卷号	219 期号:2 页码:719-740
摘要	A compactness framework is established for approximate solutions to subsonic-sonic flows governed by the steady full Euler equations for compressible fluids in arbitrary dimension. The existing compactness frameworks for the two-dimensional irrotational case do not directly apply for the steady full Euler equations in higher dimensions. The new compactness framework we develop applies for both non-homentropic and rotational flows. One of our main observations is that the compactness can be achieved by using only natural weak estimates for the mass balance and the vorticity, along with the Bernoulli law and the entropy relation, through a more delicate analysis on the phase space. As direct applications, we establish two existence theorems for multidimensional subsonic-sonic full Euler flows through infinitely long nozzles.
DOI	10.1007/s00205-015-0905-7
语种	英语
资助项目	UK EPSRC Science and Innovation Award[EP/E035027/1] ; NSFC[10728101] ; NSFC[10825102] ; Royal Society-Wolfson Research Merit Award (UK) ; National Basic Research Program of China (973 Program)[2011CB808002] ; China Scholarship Council[201204910256] ; NSF of China[11371064]
WOS研究方向	Mathematics ; Mechanics
WOS类目	Mathematics, Interdisciplinary Applications ; Mechanics
WOS记录号	WOS:000367515900005
出版者	SPRINGER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/21693
专题	应用数学研究所
通讯作者	Chen, Gui-Qiang
作者单位	1.Fudan Univ, Sch Math Sci, Shanghai 200433, Peoples R China 2.Univ Oxford, Math Inst, Radcliffe Observ Quarter, Oxford OX2 6GG, England 3.Acad Sinica, Acad Math & Syst Sci, Beijing 100190, Peoples R China 4.Acad Sinica, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China 5.Wuhan Univ Technol, Sch Sci, Dept Math, Wuhan 430070, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Chen, Gui-Qiang,Huang, Fei-Min,Wang, Tian-Yi. Subsonic-Sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2016,219(2):719-740.
APA	Chen, Gui-Qiang,Huang, Fei-Min,&Wang, Tian-Yi.(2016).Subsonic-Sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,219(2),719-740.
MLA	Chen, Gui-Qiang,et al."Subsonic-Sonic Limit of Approximate Solutions to Multidimensional Steady Euler Equations".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 219.2(2016):719-740.