Local uniqueness for vortex patch problem in incompressible planar steady flow

doi:10.1016/j.matpur.2019.05.011

CSpace > 应用数学研究所

	Local uniqueness for vortex patch problem in incompressible planar steady flow
	Cao, Daomin1,2 ; Guo, Yuxia 3; Peng, Shuangjie 4,5; Yan, Shusen 4
	2019-11-01
发表期刊	JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES
ISSN	0021-7824
卷号	131 页码:251-289
摘要	We investigate a steady planar flow of an ideal fluid in a bounded simply connected domain and focus on the vortex patch problem with prescribed vorticity strength. There are two methods to deal with the existence of solutions for this problem: the vorticity method and the stream function method. A long standing open problem is whether these two entirely different methods result in the same solution. In this paper, we will give a positive answer to this problem by studying the local uniqueness of the solutions. Another result obtained in this paper is that if the domain is convex, then the vortex patch problem has a unique solution. (C) 2019 Elsevier Masson SAS. All rights reserved.
关键词	Uniqueness Vortex parch Steady solutions Euler equation
DOI	10.1016/j.matpur.2019.05.011
收录类别	SCI
语种	英语
资助项目	NNSF of China[11629101] ; Chinese Academy of Sciences[QYZDJSSW-SYS021]
WOS研究方向	Mathematics
WOS类目	Mathematics, Applied ; Mathematics
WOS记录号	WOS:000496337800009
出版者	ELSEVIER
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/50616
专题	应用数学研究所
通讯作者	Cao, Daomin
作者单位	1.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Tsinghua Univ, Dept Math Sci, Beijing, Peoples R China 4.Cent China Normal Univ, Sch Math & Stat, Wuhan, Hubei, Peoples R China 5.Cent China Normal Univ, Hubei Key Lab Math Sci, Wuhan, Hubei, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Guo, Yuxia,Peng, Shuangjie,et al. Local uniqueness for vortex patch problem in incompressible planar steady flow[J]. JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,2019,131:251-289.
APA	Cao, Daomin,Guo, Yuxia,Peng, Shuangjie,&Yan, Shusen.(2019).Local uniqueness for vortex patch problem in incompressible planar steady flow.JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES,131,251-289.
MLA	Cao, Daomin,et al."Local uniqueness for vortex patch problem in incompressible planar steady flow".JOURNAL DE MATHEMATIQUES PURES ET APPLIQUEES 131(2019):251-289.