Time-periodic quasigeostrophic motion under dissipation and forcing

Abstract

The quasigeostrophic equation is a prototypical geophysical fluid model. In this paper, we consider time-periodic motions of this model under dissipation and time-dependent wind forcing. We show that when the wind forcing is time-periodic and the spatial square-integral of the wind forcing is bounded in time, the full nonlinear quasigeostrophic (QG) model has time-periodic motions, under some conditions on the β parameter, Ekman number, viscosity and the domain size.