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Rotating vortex patches for the planar Euler equations in a disk

文献类型：期刊论文

作者Cao, Daomin1,2; Wan, Jie3; Wang, Guodong4; Zhan, Weicheng1,2
刊名JOURNAL OF DIFFERENTIAL EQUATIONS
出版日期2021-02-25
卷号275页码:509-532
关键词Vortex patch Euler equations Variational analysis Nonlinear orbital stability
ISSN号0022-0396
DOI10.1016/j.jde.2020.11.027
英文摘要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.
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
语种英语
WOS记录号WOS:000602880100018
出版者ACADEMIC PRESS INC ELSEVIER SCIENCE
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/57885]  
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.

入库方式： OAI收割

来源：数学与系统科学研究院

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