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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
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
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
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https://www.mathnet.ru/eng/rcd774 https://www.mathnet.ru/eng/rcd/v8/i2/p163
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