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Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing

Jinqiao Duan·Peter E. Kloeden
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Abstract

The full nonlinear dissipative quasigeostrophic 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 $β$ parameter, Ekman number, viscosity and the domain size. The proof involves the pullback attractor for the associated nonautonomous dynamical system.

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Jinqiao Duan, Peter E. Kloeden. 1999-10-03. Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing. https://arxiv.org/abs/chao-dyn/9910004

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