Email this article The dynamics of vortex sources in a deformation flow
- Authors: Bizyaev I.A.1, Borisov A.V.1, Mamaev I.S.1,2
-
Affiliations:
- Udmurt State University
- Institute of Mathematics and Mechanics of the Ural Branch of RAS
- Issue: Vol 21, No 3 (2016)
- Pages: 367-376
- Section: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218316
- DOI: https://doi.org/10.1134/S1560354716030084
- ID: 218316
Cite item
Open Access
Access granted
Subscription Access
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
About the authors
Ivan A. Bizyaev
Udmurt State University
Author for correspondence.
Email: bizaev_90@mail.ru
Russian Federation, ul. Universitetskaya 1, Izhevsk, 426034
Alexey V. Borisov
Udmurt State University
Email: bizaev_90@mail.ru
Russian Federation, ul. Universitetskaya 1, Izhevsk, 426034
Ivan S. Mamaev
Udmurt State University; Institute of Mathematics and Mechanics of the Ural Branch of RAS
Email: bizaev_90@mail.ru
Russian Federation, ul. Universitetskaya 1, Izhevsk, 426034; ul. S. Kovalevskoi 16, Ekaterinburg, 620990
Supplementary files
