KMS Of Academy of mathematics and systems sciences, CAS
NONLINEAR ORBITAL STABILITY FOR PLANAR VORTEX PATCHES | |
Cao, Daomin1,2; Wan, Jie3,4; Wang, Guodong3,4 | |
2019-02-01 | |
发表期刊 | PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY |
ISSN | 0002-9939 |
卷号 | 147期号:2页码:775-784 |
摘要 | In this paper, we prove nonlinear orbital stability for steady vortex patches that maximize the kinetic energy among isovortical rearrangements in a planar bounded domain. As a result, nonlinear stability for an isolated vortex patch is proved. The proof is based on conservation of energy and vorticity, which is an analogue of the classical Liapunov function method. |
DOI | 10.1090/proc/14077 |
语种 | 英语 |
WOS研究方向 | Mathematics |
WOS类目 | Mathematics, Applied ; Mathematics |
WOS记录号 | WOS:000454742000034 |
出版者 | AMER MATHEMATICAL SOC |
引用统计 | |
文献类型 | 期刊论文 |
条目标识符 | http://ir.amss.ac.cn/handle/2S8OKBNM/32056 |
专题 | 应用数学研究所 |
通讯作者 | Cao, Daomin |
作者单位 | 1.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Guangdong, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 4.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
推荐引用方式 GB/T 7714 | Cao, Daomin,Wan, Jie,Wang, Guodong. NONLINEAR ORBITAL STABILITY FOR PLANAR VORTEX PATCHES[J]. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,2019,147(2):775-784. |
APA | Cao, Daomin,Wan, Jie,&Wang, Guodong.(2019).NONLINEAR ORBITAL STABILITY FOR PLANAR VORTEX PATCHES.PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY,147(2),775-784. |
MLA | Cao, Daomin,et al."NONLINEAR ORBITAL STABILITY FOR PLANAR VORTEX PATCHES".PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY 147.2(2019):775-784. |
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