Asymptotic behaviour of global vortex rings
文献类型：期刊论文
| 作者 | Cao, Daomin1,2 ; Wan, Jie3; Wang, Guodong4; Zhan, Weicheng5
|
| 刊名 | NONLINEARITY
 |
| 出版日期 | 2022-07-07 |
| 卷号 | 35期号:7页码:3680-3705 |
| 关键词 | incompressible Euler equations vortex ring variational method dcsingularization |
| ISSN号 | 0951-7715 |
| DOI | 10.1088/1361-6544/ac7497 |
| 英文摘要 | In this paper, we are concerned with nonlinear desingularization of steady vortex rings in R-3 with a general nonlinearity f. Using the improved vorticity method, we construct a family of steady vortex rings which constitute a desingularization of the classical circular vortex filament in the whole space. The requirements on f are very general, and it may not satisfy the Ambrosetti-Rabinowitz condition. Some qualitative and asymptotic properties are also established. |
| 资助项目 | NNSF of China[12001135] ; NNSF of China[12071098] ; NNSF of China[11831009] ; NNSF of China[12101045] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] ; Beijing Institute of Technology Research Fund Program for Young Scholars[3170011182016] ; China Postdoctoral Science Foundation[2019M661261] ; China Postdoctoral Science Foundation[2021T140163] |
| WOS研究方向 | Mathematics ; Physics |
| 语种 | 英语 |
| WOS记录号 | WOS:000817740600001 |
| 出版者 | IOP Publishing Ltd |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/61220]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Wan, Jie |
| 作者单位 | 1.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Beijing Inst Technol, Sch Math & Stat, Beijing 100081, Peoples R China 4.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China 5.Xiamen Univ, Sch Math Sci, Xiamen 361005, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Wan, Jie,Wang, Guodong,et al. Asymptotic behaviour of global vortex rings[J]. NONLINEARITY,2022,35(7):3680-3705. |
| APA | Cao, Daomin,Wan, Jie,Wang, Guodong,&Zhan, Weicheng.(2022).Asymptotic behaviour of global vortex rings.NONLINEARITY,35(7),3680-3705. |
| MLA | Cao, Daomin,et al."Asymptotic behaviour of global vortex rings".NONLINEARITY 35.7(2022):3680-3705. |
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。