Point vortices on the sphere: a case with opposite vorticities

被引：33

作者：

Laurent-Polz, F ^{[1
]}

机构：

[1] Univ Nice, Inst Non Lineare Nice, Valbonne, France

来源：

NONLINEARITY | 2002年 / 15卷 / 01期

关键词：

D O I：

10.1088/0951-7715/15/1/307

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We study systems formed of 2N point vortices on a sphere with N vortices of strength +1 and N vortices of strength -1. In this case, the Hamiltonian is conserved by the symmetry which exchanges the positive vortices with the negative vortices. We prove the existence of some fixed and relative equilibria, and then study their stability with the 'energy momentum method'. Most of the results obtained are nonlinear stability results. To end, some bifurcations are described.

引用

页码：143 / 171

页数：29

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