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NONLINEAR ORBITAL STABILITY FOR PLANAR VORTEX PATCHES
Cao, Daomin1,2; Wan, Jie3,4; Wang, Guodong3,4
2019-02-01
Source PublicationPROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
ISSN0002-9939
Volume147Issue:2Pages:775-784
AbstractIn 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.
DOI10.1090/proc/14077
Language英语
WOS Research AreaMathematics
WOS SubjectMathematics, Applied ; Mathematics
WOS IDWOS:000454742000034
PublisherAMER MATHEMATICAL SOC
Citation statistics
Cited Times:1[WOS]   [WOS Record]     [Related Records in WOS]
Document Type期刊论文
Identifierhttp://ir.amss.ac.cn/handle/2S8OKBNM/32056
Collection应用数学研究所
Affiliation1.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
Recommended Citation
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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