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Regular and Chaotic Dynamics, 2004, Volume 9, Issue 4, Pages 417–438
DOI: https://doi.org/10.1070/RD2004v009n04ABEH000288
(Mi rcd754)
 

This article is cited in 13 scientific papers (total in 13 papers)

Effective computations in modern dynamics

Dynamics of three vortices in a two-layer rotating fluid

M. A. Sokolovskiyab, J. Verronc

a Water Problems Institute, Russian Academy of Sciences, 3, Gubkina Str., GSP-1, 119991, Moscow, Russia
b Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, 16, S. Kovalevskaja Str., GSP-384, 620219, Ekaterinburg, Russia
c Laboratoire des Ecoulements Géophysiques er Industriels (LEGI), UMR 5519, CNRS, BP53 X, 38041, Grenoble Cedex, France
Citations (13)
Abstract: The problem of studying the motion of three vortex lines with arbitrary intensities in an unbounded two-dimensional finite-thickness layer of a homogeneous fluid is known [25], [9], [28], [1] to belong to the class of integrable problems. However, a complete classification of possible motions was constructed only recently [10], [28], [41]. In [40], [39], [20] a generalization is given for two-layer rotating fluid in the particular case determined by the conditions of (i) zero total circulation of vortices, and (ii) the equality of the intensities of two vortices. Here, the first of these restrictions is lifted.
Received: 01.10.2004
Bibliographic databases:
Document Type: Article
MSC: 37J35, 76B47, 76B70
Language: English
Citation: M. A. Sokolovskiy, J. Verron, “Dynamics of three vortices in a two-layer rotating fluid”, Regul. Chaotic Dyn., 9:4 (2004), 417–438
Citation in format AMSBIB
\Bibitem{SokVer04}
\by M. A. Sokolovskiy, J. Verron
\paper Dynamics of three vortices in a two-layer rotating fluid
\jour Regul. Chaotic Dyn.
\yr 2004
\vol 9
\issue 4
\pages 417--438
\mathnet{http://mi.mathnet.ru/rcd754}
\crossref{https://doi.org/10.1070/RD2004v009n04ABEH000288}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2109090}
\zmath{https://zbmath.org/?q=an:1102.37038}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2004RCD.....9..417S}
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  • This publication is cited in the following 13 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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