Leonid G. Kurakin, “On the stability of Thomson's vortex pentagon inside a circular domain”, Nelin. Dinam., 2011, Volume 7, Number 3,Pages <nobr>465

This article is cited in 2 papers

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

Leonid G. Kurakin^ab

^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.

UDC: 532.517

MSC: 76B47, 34D20, 70K30

Received: 17.07.2011
Revised: 29.08.2011