Desingularization of vortex rings in 3 dimensional Euler flows
文献类型：期刊论文
| 作者 | Cao, Daomin1,2 ; Wan, Jie4; Zhan, Weicheng1,3
|
| 刊名 | JOURNAL OF DIFFERENTIAL EQUATIONS
 |
| 出版日期 | 2021-01-05 |
| 卷号 | 270页码:1258-1297 |
| ISSN号 | 0022-0396 |
| DOI | 10.1016/j.jde.2020.09.014 |
| 英文摘要 | In this paper, we are concerned with nonlinear desingularization of steady vortex rings of three-dimensional incompressible Euler fluids. We focus on the case when the vorticity function has a simple discontinuity, which corresponding to a jump in vorticity at the boundary of the cross-section of the vortex ring. Using the vorticity method, we construct a family of steady vortex rings which constitute a desingularization of the classical circular vortex filament in several kinds of domains. The precise localization of the asymptotic singular vortex filament is proved to depend on the circulation and the velocity at far fields of the vortex ring, and the geometry of the domains. Some qualitative and asymptotic properties are also established. (C) 2020 Elsevier Inc. All rights reserved. |
| 资助项目 | NNSF of China[11831009] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000584321500036 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/52495]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wan, Jie; Zhan, Weicheng |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Guangzhou Univ, Sch Math & Informat Sci, Guangzhou 510405, Peoples R China 3.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 4.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Wan, Jie,Zhan, Weicheng. Desingularization of vortex rings in 3 dimensional Euler flows[J]. JOURNAL OF DIFFERENTIAL EQUATIONS,2021,270:1258-1297. |
| APA | Cao, Daomin,Wan, Jie,&Zhan, Weicheng.(2021).Desingularization of vortex rings in 3 dimensional Euler flows.JOURNAL OF DIFFERENTIAL EQUATIONS,270,1258-1297. |
| MLA | Cao, Daomin,et al."Desingularization of vortex rings in 3 dimensional Euler flows".JOURNAL OF DIFFERENTIAL EQUATIONS 270(2021):1258-1297. |
入库方式： OAI收割
来源：数学与系统科学研究院
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