Effects of rotation on stability of viscous stationary flows on a spherical surface

We study the incompressible viscous fluid flows within a thin rotating atmospheric shell. The model uses the two-dimensional Navier–Stokes equations on a spherical surface and serves as a simple mathematical description of a general atmospheric circulation caused by the difference in temperature between the equator and the poles. Linearized stability of a particular stationary flow is considered. Under the assumption of no friction and a …