Time-Periodic Quasigeostrophic Motion under Dissipation and Forcing

Details Time-Periodic Quasigeostrophic Motion under Dissipation and Forcing Time-Periodic Quasigeostrophic Motion under Dissipation and Forcing

1998-05-25

arxiv.org/abs/math/9805112v1

Mathematics

Dynamical Systems

LaTeX file, 8 pages. Applied Mathematics and Computation, to appear

Scientific paper

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 model has time-periodic motions, under some conditions on $\beta$ parameter, Ekman number, viscousity and the domain size.

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