From Point Vortices to Vortex Patches in Self-Similar Expanding Configurations

被引:1
|
作者
Zbarsky, Samuel [1 ]
机构
[1] Princeton Univ, Princeton, NJ 08544 USA
关键词
LARGE-TIME BEHAVIOR; GROWTH; SUPPORT; LOCALIZATION; CONFINEMENT; EVOLUTION;
D O I
10.1007/s00220-021-04227-3
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
The main result is that given a self-similarly expanding configuration of 3 point vortices that start sufficiently far out, we can instead take compactly supported vorticity functions, and the resulting solution to 2D incompressible Euler will evolve like a nearby point vortex configuration for all time, with the size of the patches growing at most as t(1/4+epsilon) and the distance between them growing as root t.
引用
收藏
页码:707 / 733
页数:27
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