 | | Journal of Applied
Mathematics and Mechanics
Russian Academy of Sciences | | Founded
in January 1936
(Translated from 1958)
Issued 6 times a year
ISSN 0021-8928
(print version) |
Archive of Issues
| Total articles in the database: | | 10482 |
| In Russian (ΟΜΜ): | | 9683
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| In English (J. Appl. Math. Mech.): | | 799 |
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| L.G. Kurakin, "The stability of the steady rotation of a system of three equidistant vortices outside a circle," J. Appl. Math. Mech. 75 (2), 227-234 (2011) |
| Year |
2011 |
Volume |
75 |
Issue |
2 |
Pages |
227-234 |
| Title |
The stability of the steady rotation of a system of three equidistant vortices outside a circle |
| Author(s) |
L.G. Kurakin (Rostov-on-Don, Russia, kurakin@math.rsu.ru) |
| Abstract |
A complete non-linear analysis of the stability of the steady rotation of three point vortices, placed in a plane at the vertices of a regular triangle outside a circular domain is carried out using the results of the Kolmogorov-Arnold-Moser theory. All the resonances of up to fourth order inclusive encountered here are listed and studied. The investigations of Havelock who solved this problem in a linear formulation are thereby completed. |
| Received |
27 July 2009 |
| Link to Fulltext |
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