Stability of the configurations of point vortices on a sphere

被引：0
作者：
Meleshko V.V. [1 ]
Newton P.K. [2 ]
Ostrovs'kyi V.V. [1 ]
机构：
[1] Kyiv National University, Kyiv
[2] University of South California, Los Angeles
来源：
Journal of Mathematical Sciences | 2010年 / 171卷 / 5期
关键词：
Vortex; Vorticity; Vortex Ring; Relative Equilibrium; Equilibrium Configuration;
D O I：
10.1007/s10958-010-0161-1
中图分类号：
学科分类号：
摘要：
We study the motion of point vortices on a sphere and, using the methods of linear algebra, find the symmetric configurations of relative equilibrium. Furthermore, we give a catalog of symmetric configurations based on regular polyhedrons. Finally, we investigate the stability of the equilibrium configurations found. © 2010 Springer Science+Business Media, Inc.
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页码：603 / 619
页数：16
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