A note on the energy of relative equilibria of point vortices

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2007-10-01

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American Institute of Physics

Abstract

Analytical formulas are derived for the energy of simple relative equilibria of identical point vortices such as the regular polygons, both open and centered, and the various known configurations consisting of nested regular polygons with or without a vortex at the center.

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Aref, Hassan, “A note on the energy of relative equilibria of point vortices,” Phys. Fluids (1994-present), 19, 103603 (2007), DOI:http://dx.doi.org/10.1063/1.2795276

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http://hdl.handle.net/10919/24388

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Scholarly Works, Biomedical Engineering and Mechanics