Stochastic Dynamics of a Coupled Atmosphere--Ocean Model
| dc.creator | Duan, J. | |
| dc.creator | Gao, H. | |
| dc.creator | Schmalfuss, B. | |
| dc.date | 2004-08-27 | |
| dc.date.accessioned | 2026-07-07T05:11:37Z | |
| dc.date.available | 2026-07-07T05:11:37Z | |
| dc.description | The investigation of the coupled atmosphere-ocean system is not only scientifically challenging but also practically important. We consider a coupled atmosphere-ocean model, which involves hydrodynamics, thermodynamics, and random atmospheric dynamics due to short time influences at the air-sea interface. We reformulate this model as a random dynamical system. First, we have shown that the asymptotic dynamics of the coupled atmosphere-ocean model is described by a random climatic attractor. Second, we have estimated the atmospheric temperature evolution under oceanic feedback, in terms of the freshwater flux, heat flux and the external fluctuation at the air-sea interface, as well as the earth's longwave radiation coefficient and the shortwave solar radiation profile. Third, we have demonstrated that this system has finite degree of freedom by presenting a finite set of determining functionals in probability. Finally, we have proved that the coupled atmosphere-ocean model is ergodic under suitable conditions for physical parameters and randomness, and thus 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. | |
| dc.description | Submitted to Chorin II Proceedings | |
| dc.identifier | https://arxiv.org/abs/math/0408386 | |
| dc.identifier | http://arxiv.org/abs/math/0408386 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/72303 | |
| dc.subject | Dynamical Systems | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Primary 60H15; Secondary 86A05, 34D35 | |
| dc.title | Stochastic Dynamics of a Coupled Atmosphere--Ocean Model | |
| dc.type | text |