A. I. Gudimenko, K. G. Kuptsov, “Motion of three point vortices under the condition that one of them passes through the vorticity center”, Vestn. Udmurtsk. Univ. Mat. Mekh. Komp. Nauki, 2009, Issue 2,Pages <nobr>37

This article is cited in 3 papers

MECHANICS

Motion of three point vortices under the condition that one of them passes through the vorticity center

A. I. Gudimenko, K. G. Kuptsov

V. I. Il'ichev Pacific Oceanological Institute of the Far Eastern Branch of RAS, Vladivostok

Abstract: We use numerical analysis and theory of perturbation to investigate the motion of three point vortices under the condition that one of them passes through the vorticity center.

Keywords: point vortices, perturbation theory, asymptotic behavior.

UDC: 517.928, 532.517.43, 532.527

MSC: 37N10, 37D45, 76B47, 76E20, 76U05

Received: 01.09.2008