Geostrophic Vortices on a Circle of Latitude in a Cap on a Rotating Sphere
NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES
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This report contains an analysis of the linear stability of the motion of nl geostrophic vortices confined in a polar cap on a rotating sphere. It is supposed that initially one vortex is at the north pole while the others are symmetrically arranged on a circle of latitude and that the motion is subject to a certain condition along the latitude circle which bounds the cap. The development stems from the demonstration that a concentrated geostrophic vortex in a rotating spherical layer is characterized by a singular spherical harmonic of degree nu and order zero. This function has a role analogous to that of the Bessel function which characterizes a rectilinear geostrophic vortex in a rotating planar layer.
- Atmospheric Physics