Yn. Skiba, ON SUFFICIENT CONDITIONS FOR GLOBAL ASYMPTOTIC STABILITY OF THE BAROTROPIC FLUID ON A SPHERE, Nuovo cimento della Societa italiana di fisica. C, Geophysics and space physics, 17(3), 1994, pp. 359-368
Sufficient conditions are obtained for the global asymptotic stability
of solutions to the vorticity equation for a forced barotropic viscou
s fluid on a rotating sphere. The Sundstrom's requirements to the smoo
thness of the basic solution are weakened here, which makes it possibl
e to apply these conditions to a wider class of the solutions, for exa
mple, modons, having continuous derivatives up to the second order onl
y.