Existence of Steady Symmetric Vortex Patch in a Disk
文献类型：期刊论文
| 作者 | Cao, Daomin1,2 ; Wang, Guodong3; Zuo, Bijun4
|
| 刊名 | JOURNAL OF MATHEMATICAL FLUID MECHANICS
 |
| 出版日期 | 2021-02-01 |
| 卷号 | 23期号:1页码:13 |
| 关键词 | Euler equation Ideal fluid Vortex patch Kirchhoff-Routh function Variational problem |
| ISSN号 | 1422-6928 |
| DOI | 10.1007/s00021-020-00550-2 |
| 英文摘要 | In this paper, we construct a family of symmetric vortex patches for the 2D steady incompressible Euler equations in a disk. The result is obtained by studying a variational problem in which the kinetic energy of the fluid is maximized subject to some appropriate constraints for the vorticity. Moreover, we show that these vortex patches "shrink" to a given minimum point of the corresponding Kirchhoff-Routh function as the vorticity strength parameter goes to infinity. |
| 资助项目 | NNSF of China[12001135] ; NNSF of China[11831009] ; 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:000606304400001 |
| 出版者 | SPRINGER BASEL AG |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/57979]  |
| 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, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, AMSS, Beijing 100190, Peoples R China 3.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China 4.Harbin Engn Univ, Coll Math Sci, Harbin 150001, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Wang, Guodong,Zuo, Bijun. Existence of Steady Symmetric Vortex Patch in a Disk[J]. JOURNAL OF MATHEMATICAL FLUID MECHANICS,2021,23(1):13. |
| APA | Cao, Daomin,Wang, Guodong,&Zuo, Bijun.(2021).Existence of Steady Symmetric Vortex Patch in a Disk.JOURNAL OF MATHEMATICAL FLUID MECHANICS,23(1),13. |
| MLA | Cao, Daomin,et al."Existence of Steady Symmetric Vortex Patch in a Disk".JOURNAL OF MATHEMATICAL FLUID MECHANICS 23.1(2021):13. |
入库方式： OAI收割
来源：数学与系统科学研究院
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