The dynamics of vortex sources in a deformation flow |
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| Authors: | Ivan A Bizyaev Alexey V Borisov Ivan S Mamaev |
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| Institution: | 1.Udmurt State University,Izhevsk,Russia;2.Institute of Mathematics and Mechanics of the Ural Branch of RAS,Ekaterinburg,Russia |
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| 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. |
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