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Nelin. Dinam., 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

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

Full text: PDF file (650 kB)
References: PDF file   HTML file
UDC: 532.517
MSC: 76B47, 34D20, 70K30
Received: 17.07.2011
Revised: 29.08.2011

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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    This publication is cited in the following articles:
    1. L. G. Kurakin, I. V. Ostrovskaya, “Kriterii ustoichivosti pravilnogo vikhrevogo pyatiugolnika vne kruga”, Nelineinaya dinam., 8:2 (2012), 355–368  mathnet
    2. Kurakin L.G., Ostrovskaya I.V., “Nonlinear Stability Analysis of a Regular Vortex Pentagon Outside a Circle”, Regul. Chaotic Dyn., 17:5 (2012), 385–396  crossref  mathscinet  zmath  isi  elib  scopus
  • Нелинейная динамика
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