Ergodic Dynamics of the Coupled Quasigeostrophic Flow-Energy Balance System

Details Ergodic Dynamics of the Coupled Quasigeostrophic Flow-Energy Balance System Ergodic Dynamics of the Coupled Quasigeostrophic Flow-Energy Balance System

2004-08-10

arxiv.org/abs/math/0408135v1

Mathematics

Dynamical Systems

Petrovskii Conference Proceedings (to be published in "Fundamental and Applied Mathematics")

Scientific paper

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 (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, as long as the time interval is sufficiently long.

Affiliated with

Also associated with

No associations

Rating

Ergodic Dynamics of the Coupled Quasigeostrophic Flow-Energy Balance System does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Ergodic Dynamics of the Coupled Quasigeostrophic Flow-Energy Balance System, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Ergodic Dynamics of the Coupled Quasigeostrophic Flow-Energy Balance System will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-689711