Motion of a Vortex in a Rotating Layer of Fluid between Rigid Concentric Spheres,

摘要

A preliminary report is concerned with the approximate description of two-dimensional vortical motion in a thin spherical layer of a gravitating,incompressible,inviscid fluid. The fluid is contained between an inner rotating rigid ball and an outer rigid concentric sphere and along with the inner spherical surface,has been rotating with constant angular velocity. The motion is supposedly due to the gravitational attraction of the rotating ball and to the sudden creation at t = 0of concentrated vortices with axis normal to the spheres.