Steady vortex patches near a nontrivial irrotational flow
文献类型：期刊论文
| 作者 | Cao, Daomin1,2 ; Wang, Guodong1,2; Zhan, Weicheng1,2
|
| 刊名 | SCIENCE CHINA-MATHEMATICS
 |
| 出版日期 | 2021-05-01 |
| 卷号 | 64期号:5页码:947-962 |
| 关键词 | Euler equation incompressible fluids vortex patch variational problem irrotational flow |
| ISSN号 | 1674-7283 |
| DOI | 10.1007/s11425-018-9495-1 |
| 英文摘要 | In this paper, we study the vortex patch problem in an ideal fluid in a planar bounded domain. By solving a certain minimization problem and studying the limiting behavior of the minimizer, we prove that for any harmonic function q corresponding to a nontrivial irrotational flow, there exists a family of steady vortex patches approaching the set of extreme points of q on the boundary of the domain. Furthermore, we show that each finite collection of strict extreme points of q corresponds to a family of steady multiple vortex patches approaching it. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000644638800005 |
| 出版者 | SCIENCE PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/58671]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wang, Guodong |
| 作者单位 | 1.Univ Chinese Acad Sci, Sch Math Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Acad Math & Syst Sci, Inst Appl Math, Beijing 100190, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Wang, Guodong,Zhan, Weicheng. Steady vortex patches near a nontrivial irrotational flow[J]. SCIENCE CHINA-MATHEMATICS,2021,64(5):947-962. |
| APA | Cao, Daomin,Wang, Guodong,&Zhan, Weicheng.(2021).Steady vortex patches near a nontrivial irrotational flow.SCIENCE CHINA-MATHEMATICS,64(5),947-962. |
| MLA | Cao, Daomin,et al."Steady vortex patches near a nontrivial irrotational flow".SCIENCE CHINA-MATHEMATICS 64.5(2021):947-962. |
入库方式： OAI收割
来源：数学与系统科学研究院
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