Highly Influenced

# D S ] 2 5 Se p 20 01 Point vortices on the sphere : a case with opposite vorticities

@inproceedings{LaurentPolz2002DS, title={D S ] 2 5 Se p 20 01 Point vortices on the sphere : a case with opposite vorticities}, author={F Laurent-Polz}, year={2002} }

- Published 2002

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 Hamil-tonian is conserved by the symmetry which exchanges the positive vortices with the negative vortices. We prove the existence of some fixed and relative equilib-ria, 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.