KMS Of Academy of mathematics and systems sciences, CAS
| MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS | |
Cao, Daomin1,2 ; Wan, Jie3
| |
| 2022 | |
| Source Publication | SIAM JOURNAL ON MATHEMATICAL ANALYSIS
 |
| ISSN | 0036-1410 |
| Volume | 54Issue:2Pages:1488-1514 |
| Abstract | In this paper, we study the existence and qualitative properties of multiscale steady vortex patches for Euler equations in a 2D bounded domain. By considering certain maximization problems for the vorticity, we obtain the existence of double vortex patches which are trapped in a neighborhood of two points. Limiting localizations of these two points are determined by the Robin function and the boundary of the domain, rather than critical points of the Kirchhoff--Routh function H2, which is quite different from all the known results. Moreover, the strengths of two components of vorticity are of different order. Multiscale vortex patches concentrating near k points are also constructed for any integer k \geq 2. |
| Keyword | steady vortex patch desingularization Kirchhoff--Routh function Robin function variational method |
| DOI | 10.1137/21M1390529 |
| Indexed By | SCI |
| Language | 英语 |
| Funding Project | National Natural Science Foun-dation of China[11831009] ; Chinese Academy of Sciences[QYZDJ-SSW-SYS021] ; National Natural Science Foundation of China[12101045] ; Beijing Institute of Technology Research Fund Program for Young Scholars[3170011182016] |
| WOS Research Area | Mathematics |
| WOS Subject | Mathematics, Applied |
| WOS ID | WOS:000797597300006 |
| Publisher | SIAM PUBLICATIONS |
| Citation statistics | |
| Document Type | 期刊论文 |
| Identifier | http://ir.amss.ac.cn/handle/2S8OKBNM/61352 |
| Collection | 应用数学研究所 |
| Corresponding Author | Cao, Daomin |
| Affiliation | 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 |
| Recommended Citation GB/T 7714 | Cao, Daomin,Wan, Jie. MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS[J]. SIAM JOURNAL ON MATHEMATICAL ANALYSIS,2022,54(2):1488-1514. |
| APA | Cao, Daomin,&Wan, Jie.(2022).MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS.SIAM JOURNAL ON MATHEMATICAL ANALYSIS,54(2),1488-1514. |
| MLA | Cao, Daomin,et al."MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS".SIAM JOURNAL ON MATHEMATICAL ANALYSIS 54.2(2022):1488-1514. |
| Files in This Item: | There are no files associated with this item. | |||||
Items in the repository are protected by copyright, with all rights reserved, unless otherwise indicated.
Edit Comment