NONLINEAR ORBITAL STABILITY FOR PLANAR VORTEX PATCHES

doi:10.1090/proc/14077

CSpace > 应用数学研究所

	NONLINEAR ORBITAL STABILITY FOR PLANAR VORTEX PATCHES
	Cao, Daomin1,2 ; Wan, Jie 3,4; Wang, Guodong 3,4
	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.