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    S. Sudakov

    Roza Luksemburg st., 74, Donetsk, Ukraine, 83114
    National Academy of Science of Ukraine Institute of Applied Mathematics and Mechanics


    Sudakov S. N.
    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
    Citation: Sudakov S. N.,  On the form of a closed cavity in which there exist homogeneous vortex motions of an ideal incompressible fluid, Rus. J. Nonlin. Dyn., 2009, Vol. 5, No. 4, pp.  551-559

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