This article is cited in 1 paper

MECHANICS

Thomson's configurations in dynamics of two vortices in an annular region

N. N. Erdakova

Udmurt State University, Izhevsk, Russia

Abstract: For the system of two point vortices in anulus the Hamiltonian is expressed in terms of elliptic functions. The stability of the Thomson configuration is studied.

Keywords: point vortex, Thomson configuration, elliptic functions, stability.

UDC: 532.5.013

MSC: 76M23, 34A05

Received: 01.12.2010

DOI: 10.20537/vm100408

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