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JOURNALS // Russian Journal of Nonlinear Dynamics // Archive

Nelin. Dinam., 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.

UDC: 531.38; 532.5

MSC: 76M23

Received: 03.10.2009



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