Rotating vortex patches for the planar Euler equations in a disk

doi:10.1016/j.jde.2020.11.027

CSpace > 应用数学研究所

	Rotating vortex patches for the planar Euler equations in a disk
	Cao, Daomin1,2 ; Wan, Jie 3; Wang, Guodong 4; Zhan, Weicheng 1,2
	2021-02-25
发表期刊	JOURNAL OF DIFFERENTIAL EQUATIONS
ISSN	0022-0396
卷号	275 页码:509-532
摘要	We construct a family of rotating vortex patches with fixed angular velocity for the two-dimensional Euler equations in a disk. As the vorticity strength goes to infinity, the limit of these rotating vortex patches is a rotating point vortex whose motion is described by the Kirchhoff-Routh equation. The construction is performed by solving a variational problem for the vorticity which is based on an adaption of Arnold's variational principle. We also prove nonlinear orbital stability of the set of maximizers in the variational problem under L-p perturbation when p is an element of [3/2, +infinity). (C) 2020 Elsevier Inc. All rights reserved.
关键词	Vortex patch Euler equations Variational analysis Nonlinear orbital stability
DOI	10.1016/j.jde.2020.11.027
收录类别	SCI
语种	英语
资助项目	NNSF of China[11831009] ; NNSF of China[12001135] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] ; China Postdoctoral Science Foundation[2019M661261]
WOS研究方向	Mathematics
WOS类目	Mathematics
WOS记录号	WOS:000602880100018
出版者	ACADEMIC PRESS INC ELSEVIER SCIENCE
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/57886
专题	应用数学研究所
通讯作者	Zhan, Weicheng
作者单位	1.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 4.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China
推荐引用方式 GB/T 7714	Cao, Daomin,Wan, Jie,Wang, Guodong,et al. Rotating vortex patches for the planar Euler equations in a disk[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,275:509-532.
APA	Cao, Daomin,Wan, Jie,Wang, Guodong,&Zhan, Weicheng.(2021).Rotating vortex patches for the planar Euler equations in a disk.JOURNAL OF DIFFERENTIAL EQUATIONS,275,509-532.
MLA	Cao, Daomin,et al."Rotating vortex patches for the planar Euler equations in a disk".JOURNAL OF DIFFERENTIAL EQUATIONS 275(2021):509-532.