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

A. Du, J. Duan, H. Gao, Tamay M Ozgokmen

Research output: Contribution to journalArticle

Abstract

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.

Original languageEnglish (US)
Pages (from-to)2677-2688
Number of pages12
JournalJournal of Mathematical Sciences
Volume151
Issue number1
DOIs
StatePublished - May 2008

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Energy Balance
Energy balance
Ocean
Atmosphere
Random Attractor
Random Dynamical Systems
Flow Time
Coupled Model
Time-average
Cocycle
Transport Equation
Model
Ensemble
Mathematical Model
Dynamical systems
Fluid
Interval
Mathematical models
Fluids
Temperature

ASJC Scopus subject areas

  • Mathematics(all)

Cite this

Ergodic dynamics of the coupled quasigeostrophic-flow-energy-balance system. / Du, A.; Duan, J.; Gao, H.; Ozgokmen, Tamay M.

In: Journal of Mathematical Sciences, Vol. 151, No. 1, 05.2008, p. 2677-2688.

Research output: Contribution to journalArticle

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