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Regular and Chaotic Dynamics, 2010, Volume 15, Issue 1, Pages 59–65
DOI: https://doi.org/10.1134/S156035471001003X (Mi rcd472) 		 
On the form of a closed cavity in which there exist uniform vortex motions of an ideal incompressible fluid

S. N. Sudakov

Institute of Applied Mathematics and Mechanics, National Academy of Sciences of Ukraine, R. Luxemburg ul., 74, Donetsk, Ukraine 83114
DOI: https://doi.org/10.1134/S156035471001003X
Abstract: The paper of S.V. Jacques [1] deals with the problem of finding forms of cavities in which there exist uniform vortex motions of an ideal incompressible fluid. In [1] the surface of the cavity was assumed to be a surface of revolution. The present work solves this problem without resorting to this assumption.
Keywords: homogeneous vortex flows, incompressible inviscid fluid, cavity, the theorems of Helmholtz.
Received: 01.08.2009
Accepted: 03.10.2009
Bibliographic databases:
Document Type: Article
MSC: 76M23
Language: English
Citation: S. N. Sudakov, “On the form of a closed cavity in which there exist uniform vortex motions of an ideal incompressible fluid”, Regul. Chaotic Dyn., 15:1 (2010), 59–65
Citation in format AMSBIB
\Bibitem{Sud10}
\by S. N. Sudakov
\paper On the form of a closed cavity in which there exist uniform vortex motions of an ideal incompressible fluid
\jour Regul. Chaotic Dyn.
\yr 2010
\vol 15
\issue 1
\pages 59--65
\mathnet{http://mi.mathnet.ru/rcd472}
\crossref{https://doi.org/10.1134/S156035471001003X}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2593230}
\zmath{https://zbmath.org/?q=an:1229.76068}
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