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
DOI:10.20537/nd0904007