Steady vortex patch solutions to the vortex-wave system
文献类型：期刊论文
| 作者 | Cao, Daomin1,2 ; Wang, Guodong2,3
|
| 刊名 | NONLINEARITY
 |
| 出版日期 | 2019-05-01 |
| 卷号 | 32期号:5页码:1882-1904 |
| 关键词 | vortex-wave system vortex patch Euler equation Kirchhoff-Routh function maximization desingularization |
| ISSN号 | 0951-7715 |
| DOI | 10.1088/1361-6544/aafe14 |
| 英文摘要 | The vortex-wave system describes the motion of a two-dimensional ideal fluid in which the vorticity includes continuously distributed vorticity, which is called the background vorticity, and a finite number of concentrated vortices. In this paper we restrict ourselves to the case of a single point vortex in a planar bounded domain. We prove that there exists a family of steady solutions to this system whose background vorticity is a vortex patch with prescribed distribution. Moreover, we show that these vortex patches 'shrink' to a minimum point of the Kirchhoff-Routh function as the strength parameter of the background vorticity goes to infinity. |
| 资助项目 | NNSF of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000464717200002 |
| 出版者 | IOP PUBLISHING LTD |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/34427]  |
| 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, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Wang, Guodong. Steady vortex patch solutions to the vortex-wave system[J]. NONLINEARITY,2019,32(5):1882-1904. |
| APA | Cao, Daomin,&Wang, Guodong.(2019).Steady vortex patch solutions to the vortex-wave system.NONLINEARITY,32(5),1882-1904. |
| MLA | Cao, Daomin,et al."Steady vortex patch solutions to the vortex-wave system".NONLINEARITY 32.5(2019):1882-1904. |
入库方式： OAI收割
来源：数学与系统科学研究院
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