Relative equilibrium and collapse configurations of heterogeneous vortex triple rings |
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Authors: | Kevin A O’Neil |
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Institution: | Department of Mathematics, The University of Tulsa, 600 S. College Ave., Tulsa, OK 74104, USA |
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Abstract: | Configurations of point vortices in a 2D fluid that are placed at the vertices of concentric regular m-gons, i.e. point vortex rings, are considered. The number of configurations that rotate uniformly-relative equilibria-is shown to be finite in the case of three rings with arbitrary circulations, subject to a few circulation constraints. Similar finiteness results for collapse configurations of three rings are also obtained, and an effective computational method is described. |
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Keywords: | Point vortex Relative equilibrium Collapse |
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