Geodesic
On damping source in model of the shallow water on rotating sphere
Russian journal of nonlinear dynamics, Tome 4 (2008) no. 2, pp. 133-144.

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We investigate exact shallow water on a rotating sphere. This model is used in oceanoiogy and physics of atmosphere for describing large-scale motions of gas and fluid. We construct and study solution, which describes 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 of motion, differential equation. 
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     author = {A. V. Ivanova and A. P. Chupakhin},
     title = {On damping source in model of the shallow water on rotating sphere},
     journal = {Russian journal of nonlinear dynamics},
     pages = {133--144},
     publisher = {mathdoc},
     volume = {4},
     number = {2},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ND_2008_4_2_a1/}
}
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A. V. Ivanova; A. P. Chupakhin. On damping source in model of the shallow water on rotating sphere. Russian journal of nonlinear dynamics, Tome 4 (2008) no. 2, pp. 133-144. http://geodesic.mathdoc.fr/item/ND_2008_4_2_a1/