Dissipative Quasi-Geostrophic Motion under Temporally Almost Periodic ForcingU

The full nonlinear dissipative quasi-geostrophic model is shown to have a unique temporally almost periodic solution when the wind forcing is temporally almost periodic under suitable constraints on the spatial square-integral of the wind forcing and the b parameter, Ekman number, viscosity, and the domain size. The proof involves the pullback attractor for the associated nonautonomous dynamical system.