Point vortices on a rotating sphere

作者: Frederic Laurent-Polz

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摘要: We study the dynamics of $N$ point vortices on a rotating sphere. The Hamiltonian system becomes infinite dimensional due to non-uniform background vorticity coming from Coriolis force. prove that relative equilibrium formed latitudinal rings identical for non-rotating sphere persists be when rotates. nonlinear stability polygon planar plane in order approximate corresponding ring is close pole. then perform same geostrophic vortices. To end, we compare our results observations southern hemisphere atmospheric circulation.

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