Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid
文献类型：期刊论文
| 作者 | Cao, Daomin2,3 ; Wang, Guodong1
|
| 刊名 | JOURNAL OF MATHEMATICAL FLUID MECHANICS
 |
| 出版日期 | 2021-08-01 |
| 卷号 | 23期号:3页码:16 |
| 关键词 | Euler equations vortex patch nonlinear stability Kirchhoff-Routh function |
| ISSN号 | 1422-6928 |
| DOI | 10.1007/s00021-021-00588-w |
| 英文摘要 | In this paper, we prove nonlinear stability of planar vortex patches concentrated near a non-degenerate minimum point of the Robin function in a general bounded domain. These vortex patches are stationary solutions of the two-dimensional incompressible Euler equations. The result is obtained by showing that these concentrated vortex patches are in fact isolated maximizers of the kinetic energy among isovortical patches. |
| 资助项目 | NNSF of China[12001135] ; NNSF of China[12071098] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] ; China Postdoctoral Science Foundation[2019M661261] |
| WOS研究方向 | Mathematics ; Mechanics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000647732600001 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58605]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Cao, Daomin |
| 作者单位 | 1.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Wang, Guodong. Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2021,23(3):16. |
| APA | Cao, Daomin,&Wang, Guodong.(2021).Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid.JOURNAL OF MATHEMATICAL FLUID MECHANICS,23(3),16. |
| MLA | Cao, Daomin,et al."Nonlinear Stability of Planar Vortex Patches in an Ideal Fluid".JOURNAL OF MATHEMATICAL FLUID MECHANICS 23.3(2021):16. |
入库方式： OAI收割
来源：数学与系统科学研究院
浏览0
下载0
收藏0
其他版本
除非特别说明，本系统中所有内容都受版权保护，并保留所有权利。