ON THE ASYMPTOTIC-BEHAVIOR OF THE ADEM THERMODYNAMIC MODEL FOR THE OCEAN TEMPERATURE PREDICTION

The asymptotic behaviour of Adem's model is analyzed as a function of the external forcing and the dissipation coefficient. The existence of a bounded attracting set of the sea surface temperature anomalies in a neighborhood of zero is proved. It is shown that the perturbation solution decays exponentially to zero, under a certain condition. The decay rate depends on the external forcing and the turbulent coefficient.