科研进展
   新闻动态
      科研进展
      综合新闻
      传媒扫描
现在位置:首页 > 新闻动态 > 科研进展
二维不可压缩欧拉方程多尺度定常涡补丁解(曹道民)
2022-07-11 | 编辑:

  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 $H_2$, 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 $k\geq 2.$.

 

  Publication:

  SIAM Journal on Mathematical Analysis, Vol. 54, Iss. 2, pp: 1488-1514.

 

  Author:

  Daomin Cao

  Institute of Applied Mathematics, Chinese Academy of Sciences, Beijing 100190, and University of Chinese Academy of Sciences, Beijing 100049, People's Republic of China

  Email: dmcao@amt.ac.cn

 

  Jie Wan

  School of Mathematics and Statistics, Beijing Institute of Technology, Beijing 100081, People's Republic of China

  Email: wanjie@bit.edu.cn

 

 

  

附件下载:
 
 
【打印本页】【关闭本页】
电子政务平台   |   科技网邮箱   |   ARP系统   |   会议服务平台   |   联系我们   |   友情链接