Ivan A. Bizyaev, Alexey V. Borisov, Ivan S. Mamaev, “The Dynamics of Vortex Sources in a Deformation Flow”, Regul. Chaotic Dyn., 2016, Volume 21, Issue 3,Pages <nobr>367

This article is cited in 12 papers

The Dynamics of Vortex Sources in a Deformation Flow

Ivan A. Bizyaev^a, Alexey V. Borisov^a, Ivan S. Mamaev^ab

^a Udmurt State University, ul. Universitetskaya 1, Izhevsk, 426034, Russia
^b Institute of Mathematics and Mechanics of the Ural Branch of RAS, ul. S. Kovalevskoi 16, Ekaterinburg, 620990, Russia

Abstract: This paper is concerned with the dynamics of vortex sources in a deformation flow. The case of two vortex sources is shown to be integrable by quadratures. In addition, the relative equilibria (of the reduced system) are examined in detail and it is shown that in this case the trajectory of vortex sources is an ellipse.

Keywords: integrability, vortex sources, reduction, deformation flow.

MSC: 76M23

Received: 01.04.2016
Accepted: 26.04.2016

Language: English

DOI: 10.1134/S1560354716030084