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Steady vortex patches with opposite rotation directions in a planar ideal fluid
Cao, Daomin1,2; Wang, Guodong3,4
2019-04-01
发表期刊CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS
ISSN0944-2669
卷号58期号:2页码:17
摘要In this paper we consider steady vortex solutions for the ideal incompressible Euler equation in a planar bounded domain. By solving a variational problem for the vorticity, we construct steady vortex patches with opposite rotation directions concentrated at a strict local minimum point of the Kirchhoff-Routh function with k=2. Moreover, we show that such steady vortex patches are in fact local maximizers of the kinetic energy among isovortical patches, which correlates stability to uniqueness.
DOI10.1007/s00526-019-1503-6
语种英语
资助项目NNSF of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021]
WOS研究方向Mathematics
WOS类目Mathematics, Applied ; Mathematics
WOS记录号WOS:000462252100003
出版者SPRINGER HEIDELBERG
引用统计
文献类型期刊论文
条目标识符http://ir.amss.ac.cn/handle/2S8OKBNM/34237
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, AMSS, Inst Appl Math, 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
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GB/T 7714
Cao, Daomin,Wang, Guodong. Steady vortex patches with opposite rotation directions in a planar ideal fluid[J]. CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,2019,58(2):17.
APA Cao, Daomin,&Wang, Guodong.(2019).Steady vortex patches with opposite rotation directions in a planar ideal fluid.CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS,58(2),17.
MLA Cao, Daomin,et al."Steady vortex patches with opposite rotation directions in a planar ideal fluid".CALCULUS OF VARIATIONS AND PARTIAL DIFFERENTIAL EQUATIONS 58.2(2019):17.
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