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Regular and Chaotic Dynamics, 2008, Volume 13, Issue 1, Pages 1–8
DOI: https://doi.org/10.1134/S1560354708010012 (Mi rcd554) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Equilibrium Configurations of Point Vortices on a Sphere

K. A. O'Neil

Department of Mathematical and Computer Sciences, The University of Tulsa, 600 S.College Ave., Tulsa OK 74104, USA
Citations (1)
DOI: https://doi.org/10.1134/S1560354708010012
Abstract: Configurations of point vortices on the sphere are considered in which all vortex velocities are zero. A sharp upper bound for the number of equilibria lying on a great circle is found, valid for generic circulations, and some unusual equilibrium configurations with a free real parameter are described. Equilibria of rings (vortices evenly spaced along circles of latitude) are also discussed. All equilibrium configurations of four vortices are determined.
Keywords: point vortices, sphere, equilibrium.
Received: 13.11.2007
Accepted: 19.12.2007
Bibliographic databases:
Document Type: Article
MSC: 76B47, 70K42, 70F10, 76M23
Language: English
Citation: K. A. O'Neil, “Equilibrium Configurations of Point Vortices on a Sphere”, Regul. Chaotic Dyn., 13:1 (2008), 1–8
Citation in format AMSBIB
\Bibitem{One08}
\by K.~A.~O'Neil
\paper Equilibrium Configurations of Point Vortices on a Sphere
\jour Regul. Chaotic Dyn.
\yr 2008
\vol 13
\issue 1
\pages 1--8
\mathnet{http://mi.mathnet.ru/rcd554}
\crossref{https://doi.org/10.1134/S1560354708010012}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2383293}
\zmath{https://zbmath.org/?q=an:1229.76025}
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    • This publication is cited in the following 1 articles:
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