The dynamics of vortex sources in a deformation flow


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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.

Sobre autores

Ivan Bizyaev

Udmurt State University

Autor responsável pela correspondência
Email: bizaev_90@mail.ru
Rússia, ul. Universitetskaya 1, Izhevsk, 426034

Alexey Borisov

Udmurt State University

Email: bizaev_90@mail.ru
Rússia, ul. Universitetskaya 1, Izhevsk, 426034

Ivan Mamaev

Udmurt State University; Institute of Mathematics and Mechanics of the Ural Branch of RAS

Email: bizaev_90@mail.ru
Rússia, ul. Universitetskaya 1, Izhevsk, 426034; ul. S. Kovalevskoi 16, Ekaterinburg, 620990

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