KMS Of Academy of mathematics and systems sciences, CAS
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 |
ISSN | 0944-2669 |
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. |
DOI | 10.1007/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 |
推荐引用方式 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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