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Regular and Chaotic Dynamics, 2003, Volume 8, Issue 2, Pages 163–166
DOI: https://doi.org/10.1070/RD2003v008n02ABEH000235 (Mi rcd774) 		 
This article is cited in 31 scientific papers (total in 31 papers)

An integrability of the problem on motion of cylinder and vortex in the ideal fluid

A. V. Borisov, I. S. Mamaev

Institute of Computer Science, Universitetskaya, 1, 426034, Izhevsk, Russia
Citations (31)
DOI: https://doi.org/10.1070/RD2003v008n02ABEH000235
Abstract: In this paper we present the nonlinear Poisson structure and two first integrals in the problem on plane motion of circular cylinder and $N$ point vortices in the ideal fluid. A priori this problem is not Hamiltonian. The particular case $N = 1$, i.e. the problem on interaction of cylinder and vortex, is integrable.
Received: 11.11.2002
Bibliographic databases:
Document Type: Article
MSC: 37J35, 70H06, 76B47
Language: English
Citation: A. V. Borisov, I. S. Mamaev, “An integrability of the problem on motion of cylinder and vortex in the ideal fluid”, Regul. Chaotic Dyn., 8:2 (2003), 163–166
Citation in format AMSBIB
\Bibitem{BorMam03}
\by A. V. Borisov, I. S. Mamaev
\paper An integrability of the problem on motion of cylinder and vortex in the ideal fluid
\jour Regul. Chaotic Dyn.
\yr 2003
\vol 8
\issue 2
\pages 163--166
\mathnet{http://mi.mathnet.ru/rcd774}
\crossref{https://doi.org/10.1070/RD2003v008n02ABEH000235}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=1988857}
\zmath{https://zbmath.org/?q=an:1112.37315}
\adsnasa{https://adsabs.harvard.edu/cgi-bin/bib_query?2003RCD.....8..163B}
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    • This publication is cited in the following 31 articles:
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