Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing

Details Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing

1999-10-03

arxiv.org/abs/chao-dyn/9910004v1

J. Math Analysis and Appl., vol. 236, 74-85, 1999

Nonlinear Sciences

Chaotic Dynamics

Scientific paper

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 $\beta$ parameter, Ekman number, viscosity and the domain size. The proof involves the pullback attractor for the associated nonautonomous dynamical system.

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