On sufficient conditions for global asymptotic stability of the barotropic fluid on a sphere
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Sufficient conditions are obtained for the global asymptotic stability of solutions to the vorticity equation for a forced barotropic viscous fluid on a rotating sphere. The Sundström's requirements to the smoothness of the basic solution are weakened here, which makes it possible to apply these conditions to a wider class of the solutions, for example, modons, having continuous derivatives up to the second order only.
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