The dynamics of vortex sources in a deformation flow
- Авторы: Bizyaev I.A.1, Borisov A.V.1, Mamaev I.S.1,2
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Учреждения:
- Udmurt State University
- Institute of Mathematics and Mechanics of the Ural Branch of RAS
- Выпуск: Том 21, № 3 (2016)
- Страницы: 367-376
- Раздел: Article
- URL: https://ogarev-online.ru/1560-3547/article/view/218316
- DOI: https://doi.org/10.1134/S1560354716030084
- ID: 218316
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Аннотация
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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Об авторах
Ivan Bizyaev
Udmurt State University
Автор, ответственный за переписку.
Email: bizaev_90@mail.ru
Россия, ul. Universitetskaya 1, Izhevsk, 426034
Alexey Borisov
Udmurt State University
Email: bizaev_90@mail.ru
Россия, 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
Россия, ul. Universitetskaya 1, Izhevsk, 426034; ul. S. Kovalevskoi 16, Ekaterinburg, 620990
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