FUNDAMENTALNAYA
I PRIKLADNAYA MATEMATIKA

(FUNDAMENTAL AND APPLIED MATHEMATICS)

2006, VOLUME 12, NUMBER 6, PAGES 67-84

**Ergodic dynamics of the coupled quasigeostrophic flow-energy balance
system**

A. Du

J. Duan

H. Gao

T. Özgökmen

Abstract

View as HTML
View as gif image

The authors consider a mathematical model for the coupled
atmosphere-ocean system, namely, the coupled quasigeostrophic
flow-energy balance model.
This model consists of the large scale quasigeostrophic oceanic flow
model and the transport equation for oceanic temperature, coupled with
an atmospheric energy balance model.
After reformulating this coupled model as a random dynamical
system (with the cocycle property), it is shown that the coupled
quasigeostrophic-energy balance fluid system has a random
attractor, and under further conditions on the physical data and the
covariance of the noise, the system is ergodic, namely, for any
observable of the coupled atmosphere-ocean flows, its time average
approximates the statistical ensemble average, provided the time
interval is sufficiently long.

Location: http://mech.math.msu.su/~fpm/eng/k06/k066/k06605h.htm

Last modified: February 26, 2007