Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics]
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Nelineinaya Dinamika [Russian Journal of Nonlinear Dynamics], 2009, Volume 5, Number 4, Pages 551–559 (Mi nd111)  

On the form of a closed cavity in which there exist homogeneous vortex motions of an ideal incompressible fluid

S. N. Sudakov

Institute of Applied Mathematics and Mechanics, Ukraine National Academy of Sciences
Abstract: The paper of S. V. Jaques [1] is concerned with the problem of finding forms of rotation cavities in which there can exist a homogeneous vortex motion of an ideal incompressible fluid. This paper solves this problem without the assumption that the boundary of the cavity is the rotation surface.
Keywords: the homogeneous vortex flows, incompressible inviscid fluid, cavity, the theorems of Helmholtz.
Received: 03.10.2009
Document Type: Article
UDC: 531.38; 532.5
MSC: 76M23
Language: Russian
Citation: S. N. Sudakov, “On the form of a closed cavity in which there exist homogeneous vortex motions of an ideal incompressible fluid”, Nelin. Dinam., 5:4 (2009), 551–559
Citation in format AMSBIB
\Bibitem{Sud09}
\by S.~N.~Sudakov
\paper On the form of a closed cavity in which there exist homogeneous vortex motions of an ideal incompressible fluid
\jour Nelin. Dinam.
\yr 2009
\vol 5
\issue 4
\pages 551--559
\mathnet{http://mi.mathnet.ru/nd111}
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  • https://www.mathnet.ru/eng/nd/v5/i4/p551
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