Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 3, Pages 465–488 (Mi nd271)  
This article is cited in 2 scientific papers (total in 2 papers)

On the stability of Thomson's vortex pentagon inside a circular domain

Leonid G. Kurakinab

a South Mathematical Institute of VSC RAS
b South Mathematical Institute of VSC RAS, Markusa 22, Vladikavkaz, 362027, Russia
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Abstract: We investigate the stability problem for a system of five stationary rotation identical point vortices located at the vertices of a regular pentagon inside a circular domain. The main result is the proof of theorems which have been announced the author in paper (Doklady Physics, 2004, vol. 49, no. 11, pp. 658–661).
Keywords: point vortex, stationary motion, stability, resonance.
Received: 17.07.2011
Revised: 29.08.2011
Document Type: Article
UDC: 532.517
MSC: 76B47, 34D20, 70K30
Language: Russian
Citation: Leonid G. Kurakin, “On the stability of Thomson's vortex pentagon inside a circular domain”, Nelin. Dinam., 7:3 (2011), 465–488
Citation in format AMSBIB
\Bibitem{Kur11}
\by Leonid~G.~Kurakin
\paper On the stability of Thomson's vortex pentagon inside a circular domain
\jour Nelin. Dinam.
\yr 2011
\vol 7
\issue 3
\pages 465--488
\mathnet{http://mi.mathnet.ru/nd271}
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  • https://www.mathnet.ru/eng/nd/v7/i3/p465
    • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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