Dynamics of a Coupled Atmosphere-Ocean Model

 

Abstract

In this talk the coupled atmosphere-ocean (CAO) system is considered.

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. Meanwhile, stochastic dynamics for CAO under random forcing is obtained.