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Time-Periodic Quasigeostrophic Motion under Dissipation and Forcing

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

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Jinqiao Duan. 1998-05-25. Time-Periodic Quasigeostrophic Motion under Dissipation and Forcing. https://arxiv.org/abs/math/9805112

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