Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing
chao-dyn
2007-05-23 v1 Chaotic Dynamics
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 parameter, Ekman number, viscosity and the domain size. The proof involves the pullback attractor for the associated nonautonomous dynamical system.
Keywords
Cite
@article{arxiv.chao-dyn/9910004,
title = {Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing},
author = {Jinqiao Duan and Peter E. Kloeden},
journal= {arXiv preprint arXiv:chao-dyn/9910004},
year = {2007}
}