Semi-hyperbolic Patches of Solutions to the Two-dimensional Euler Equations

doi:10.1007/s00205-011-0410-6

	Semi-hyperbolic Patches of Solutions to the Two-dimensional Euler Equations
	Li, Mingjie 1; Zheng, Yuxi 2,3
刊名	ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS
	2011-09-01
卷号	201 期号:3 页码:1069-1096
ISSN号	0003-9527
DOI	10.1007/s00205-011-0410-6
英文摘要	We construct semi-hyperbolic patches of solutions, in which one family out of two nonlinear families of characteristics starts on sonic curves and ends on transonic shock waves, to the two-dimensional Euler equations. This type of solution appears in the transonic flow over an airfoil and Guderley reflection, and is common in the numerical solutions of Riemann problems.
资助项目	NSF[DMS 0603859] ; NSF[0908207]
WOS研究方向	Mathematics ; Mechanics
语种	英语
出版者	SPRINGER
WOS记录号	WOS:000293631200008
内容类型	期刊论文
源URL	[http://ir.amss.ac.cn/handle/2S8OKBNM/11836]
专题	中国科学院数学与系统科学研究院
通讯作者	Li, Mingjie
作者单位	1.Capital Normal Univ, Sch Math Sci, Beijing 100048, Peoples R China 2.Acad Sinica, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Penn State Univ, Dept Math, University Pk, PA 16802 USA
推荐引用方式 GB/T 7714	Li, Mingjie,Zheng, Yuxi. Semi-hyperbolic Patches of Solutions to the Two-dimensional Euler Equations[J]. ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,2011,201(3):1069-1096.
APA	Li, Mingjie,&Zheng, Yuxi.(2011).Semi-hyperbolic Patches of Solutions to the Two-dimensional Euler Equations.ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS,201(3),1069-1096.
MLA	Li, Mingjie,et al."Semi-hyperbolic Patches of Solutions to the Two-dimensional Euler Equations".ARCHIVE FOR RATIONAL MECHANICS AND ANALYSIS 201.3(2011):1069-1096.