We investigate exact shallow water on a rotating sphere. Thismodel is used in oceanology and physics of atmosphere for describing large-scalemotions of gas and fluid.We construct and study solution,which describe the damped ring source on the sphere. The motion takes place in a spherical belt. System of equations of shallow water on the sphere has solutions of two types: supercritical (supersonic) and subcritical (subsonic).
Keywords:
shallow water on a sphere, two types motion, differential equation
Citation:
Ivanova A. V., Chupakhin A. P., On damping source in model of the shallow water on rotating sphere, Rus. J. Nonlin. Dyn.,
2008, Vol. 4, No. 2,
pp. 133-144
DOI:10.20537/nd0802002