Stationary spherical vortices in a perfect fluid.
Necessary conditions are derived for a spherical vortex in a perfect fluid to be stationary in the case when the velocities depend on a single surface harmonic. The motion is indeterminate unless an additional condition is imposed. In the case when this condition is incompressibility, the equations are solved, yielding a class of stationary spherical vortices.
Pekeris
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Department of Applied Mathematics, The Weizmann Institute, Rehovot, Israel.