Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing

1999/10/03 by Jinqiao Duan, Peter E. Kloeden
Physics and Astronomy · #chao-dyn #nlin.CD

paper · pdf

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

arxiv created 1999/10/03 · arxiv updated 2009/11/30

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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