2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/76961The 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 model has time-periodic motions, under some conditions on $β$ parameter, Ekman number, viscousity and the domain size.LaTeX file, 8 pages. Applied Mathematics and Computation, to appearDynamical SystemsAnalysis of PDEs35B10, 58F39text