Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain
文献类型：期刊论文
| 作者 | Wang, Guodong3; Zuo, Bijun1,2 |
| 刊名 | JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS
 |
| 出版日期 | 2020-07-15 |
| 卷号 | 487期号:2页码:15 |
| 关键词 | Euler equations Vortex patch Variational problem Limiting behavior |
| ISSN号 | 0022-247X |
| DOI | 10.1016/j.jmaa.2020.124012 |
| 英文摘要 | In this paper, we study the possible equilibrium states of the 2D incompressible Euler equations in a bounded domain. By solving a suitable minimization problem, we prove existence of a new type of steady Euler flows in which the vorticity vanishes on a finite number of compact sets of small diameter and is a positive constant elsewhere. The locations of those small compact sets are determined by the geometry of the domain. (C) 2020 Elsevier Inc. All rights reserved. |
| WOS研究方向 | Mathematics |
| 语种 | 英语 |
| WOS记录号 | WOS:000525905000019 |
| 出版者 | ACADEMIC PRESS INC ELSEVIER SCIENCE |
| 源URL | [http://ir.amss.ac.cn/handle/2S8OKBNM/51082]  |
| 专题 | 中国科学院数学与系统科学研究院 |
| 通讯作者 | Zuo, Bijun |
| 作者单位 | 1.Univ Chinese Acad Sci, Beijing 100049, Peoples R China 2.Chinese Acad Sci, Inst Appl Math, Beijing 100190, Peoples R China 3.Harbin Inst Technol, Inst Adv Study Math, Harbin 150001, Peoples R China |
| 推荐引用方式 GB/T 7714 | Wang, Guodong,Zuo, Bijun. Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain[J]. JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,2020,487(2):15. |
| APA | Wang, Guodong,&Zuo, Bijun.(2020).Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain.JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS,487(2),15. |
| MLA | Wang, Guodong,et al."Steady vortex patches near a rotating flow with constant vorticity in a planar bounded domain".JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS 487.2(2020):15. |
入库方式： OAI收割
来源：数学与系统科学研究院
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