Equilibrium configurations of point vortices on a sphere

被引：5

作者：

O'Neil, K. A. ^{[1
]}

机构：

[1] Univ Tulsa, Dept Math & Comp Sci, Tulsa, OK 74104 USA

来源：

REGULAR & CHAOTIC DYNAMICS | 2008年 / 13卷 / 01期

关键词：

point vortices; sphere; equilibrium;

D O I：

10.1134/S1560354708010012

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Configurations of point vortices on the sphere are considered in which all vortex velocities are zero. A sharp upper bound for the number of equilibria lying on a great circle is found, valid for generic circulations, and some unusual equilibrium configurations with a free real parameter are described. Equilibria of rings (vortices evenly spaced along circles of latitude) are also discussed. All equilibrium configurations of four vortices are determined.

引用

页码：1 / 8

页数：8

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