Dynamics of a Coupled Atmosphere-Ocean Model

Details Dynamics of a Coupled Atmosphere-Ocean Model Dynamics of a Coupled Atmosphere-Ocean Model

2004-08-27

arxiv.org/abs/math/0408385v1

Mathematics

Dynamical Systems

Submitted to: Nonlinear Analysis B: Real World Applications

Scientific paper

We consider a coupled atmosphere-ocean model, which involves hydrodynamics, thermodynamics and nonautonomous interaction at the air-sea interface. First, we show that the coupled atmosphere-ocean system is stable under the external fluctuation in the atmospheric energy balance relation. Then, we estimate the atmospheric temperature feedback in terms of the freshwater flux, heat flux and the external fluctuation at the air-sea interface, as well as the earth's longwave radiation coefficient and the shortwave solar radiation profile. Finally, we prove that the coupled atmosphere-ocean system has time-periodic, quasiperiodic and almost periodic motions, whenever the external fluctuation in the atmospheric energy balance relation is time-periodic, quasiperiodic and almost periodic, respectively.

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