On desingularization of steady vortex for the lake equations
文献类型：期刊论文
| 作者 | Cao, Daomin1,2 ; Zhan, Weicheng3; Zou, Changjun1,2
|
| 刊名 | IMA JOURNAL OF APPLIED MATHEMATICS
 |
| 出版日期 | 2022-01-22 |
| 卷号 | 87期号:1页码:50-79 |
| 关键词 | steady vortex solutions elliptic equations variational method desingularization maximizer |
| ISSN号 | 0272-4960 |
| DOI | 10.1093/imamat/hxab042 |
| 英文摘要 | In this paper, we constructed a family of steady vortex solutions for the lake equations with a general vorticity function, which constitutes a desingularization of a singular vortex. The precise localization of the asymptotic singular vortex is shown to be the deepest position of the lake. We also study global nonlinear stability for these solutions. Some qualitative and asymptotic properties are also established. |
| 资助项目 | National Natural Science Foundation of China[11771469] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000761453000003 |
| 出版者 | OXFORD UNIV PRESS |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/60050]  |
| 专题 | 应用数学研究所 |
| 通讯作者 | Zhan, Weicheng |
| 作者单位 | 1.Chinese Acad Sci, Acad Math & Syst Sci, Beijing 100190, Peoples R China 2.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 3.Xiamen Univ, Sch Math Sci, Xiamen 361005, Fujian, Peoples R China |
| 推荐引用方式 GB/T 7714 | Cao, Daomin,Zhan, Weicheng,Zou, Changjun. On desingularization of steady vortex for the lake equations[J]. IMA JOURNAL OF APPLIED MATHEMATICS,2022,87(1):50-79. |
| APA | Cao, Daomin,Zhan, Weicheng,&Zou, Changjun.(2022).On desingularization of steady vortex for the lake equations.IMA JOURNAL OF APPLIED MATHEMATICS,87(1),50-79. |
| MLA | Cao, Daomin,et al."On desingularization of steady vortex for the lake equations".IMA JOURNAL OF APPLIED MATHEMATICS 87.1(2022):50-79. |
入库方式： OAI收割
来源：数学与系统科学研究院
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