中国科学院机构知识库网格
Chinese Academy of Sciences Institutional Repositories Grid
首页 机构 成果 学者
  
  1. CAS IR Grid
  2. 数学与系统科学研究院
  3. 中国科学院数学与系统科学研究院
  4. 应用数学研究所
MULTISCALE STEADY VORTEX PATCHES FOR 2D INCOMPRESSIBLE EULER EQUATIONS

文献类型：期刊论文

作者Cao, Daomin1,2; Wan, Jie3
刊名SIAM JOURNAL ON MATHEMATICAL ANALYSIS
出版日期2022
卷号54期号:2页码:1488-1514
关键词steady vortex patch desingularization Kirchhoff--Routh function Robin function variational method
ISSN号0036-1410
DOI10.1137/21M1390529
英文摘要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.
资助项目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研究方向Mathematics
语种英语
WOS记录号WOS:000797597300006
出版者SIAM PUBLICATIONS
源URL[http://ir.amss.ac.cn/handle/2S8OKBNM/61351]  
专题应用数学研究所
通讯作者Cao, Daomin
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
推荐引用方式
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.

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。