Lavrentyev Institute of Hydrodynamics SB RAS
Ivanova A. V., Chupakhin A. P.
On damping source in model of the shallow water on rotating sphere
2008, Vol. 4, No. 2, pp. 133-144
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).