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Regular and Chaotic Dynamics, 2011, Volume 16, Issue 6, Pages 555–561
DOI: https://doi.org/10.1134/S1560354711060013 (Mi rcd456) 		 
This article is cited in 8 scientific papers (total in 8 papers)

Clustered Equilibria of Point Vortices

Kevin A. O'Neil

Department of Mathematical and Computer Sciences, The University of Tulsa, 800 S. Tucker Dr., Tulsa OK 74104 USA
Citations (8)
DOI: https://doi.org/10.1134/S1560354711060013
Abstract: Point vortex equilibria in which the vortices are arranged in clusters are examined. The vortex velocities in these configurations are all equal. Necessary conditions for their existence are established that relate the circulations within the clusters to the cluster radius. A method for generating these configurations by singular continuation is proved to be valid for the generic case. Finally, a partial analysis of exceptional cases is given and their connection to the existence of parametrized families of equilibria is described.
Keywords: point vortex, equilibrium, singular continuation.
Received: 24.03.2011
Accepted: 22.07.2011
Document Type: Article
MSC: 76B47, 70F10
Language: English
Citation: Kevin A. O'Neil, “Clustered Equilibria of Point Vortices”, Regul. Chaotic Dyn., 16:6 (2011), 555–561
Citation in format AMSBIB
\Bibitem{One11}
\by Kevin A. O'Neil
\paper Clustered Equilibria of Point Vortices
\jour Regul. Chaotic Dyn.
\yr 2011
\vol 16
\issue 6
\pages 555--561
\mathnet{http://mi.mathnet.ru/rcd456}
\crossref{https://doi.org/10.1134/S1560354711060013}
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    • This publication is cited in the following 8 articles:
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