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Stability of Geostrophic Vortices on a Rotating Sphere
NEW YORK UNIV NY COURANT INST OF MATHEMATICAL SCIENCES
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The original motivation for this study comes from the climatological observation of three semipermanent subtropical highs in each of the Northern and Southern hemispheres. The stability under perturbation of the following four types of configurations of geostrophic vortices is studied a N vortices of equal strength mu equally spaced on a circle of colatitude theta b N vortices of equal strength mu equally space on a circle of colatitude theta, one vortex with strength mu sub 0 at the pole c the same distribution as in a but satisfying the boundary condition vanishing normal velocity component at the equator d the same distribution as b but satisfying the boundary CONDITION vanishing normal velocity component at the equator.
APPROVED FOR PUBLIC RELEASE