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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2011, Volume 7, Number 3, Pages 465–488
(Mi nd271)
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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.
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
Linking options:
https://www.mathnet.ru/eng/nd271 https://www.mathnet.ru/eng/nd/v7/i3/p465
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Abstract page: | 256 | Full-text PDF : | 71 | References: | 56 | First page: | 1 |
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