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

A. Du, J. Duan, H. Gao, T. Özgökmen

Research output: Contribution to journalArticlepeer-review


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
Issue number1
StatePublished - May 2008

ASJC Scopus subject areas

  • Statistics and Probability
  • Mathematics(all)
  • Applied Mathematics


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