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- W2139968887 abstract "We prove the existence of many different symmetry types of relative equilibria for systems of identical point vortices on a non-rotating sphere. The proofs use the rotational symmetry group SO(3) and the resulting conservation laws, the time-reversing reflectional symmetries in O(3), and the finite symmetry group of permutations of identical vortices. Results include both global existence theorems and local results on bifurcations from equilibria. A more detailed study is made of relative equilibria which consist of two parallel rings with n vortices in each rotating about a common axis. The paper ends with discussions of the bifurcation diagrams for systems of 3–6 identical vortices." @default.
- W2139968887 created "2016-06-24" @default.
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- W2139968887 date "2001-01-01" @default.
- W2139968887 modified "2023-09-25" @default.
- W2139968887 title "Relative equilibria of point vortices on the sphere" @default.
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- W2139968887 doi "https://doi.org/10.1016/s0167-2789(00)00167-6" @default.
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