NONLINEAR ORBITAL STABILITY FOR PLANAR VORTEX PATCHES

被引：13
作者：
Cao, Daomin [1 ,2 ]
Wan, Jie [3 ,4 ]
Wang, Guodong [3 ,4 ]
机构：
[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
来源：
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY | 2019年 / 147卷 / 02期
关键词：
STEADY; REARRANGEMENTS; CONFIGURATIONS; FLOW;
D O I：
10.1090/proc/14077
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
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.
引用
收藏
页码：775 / 784
页数：10
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