- 01-156 Jinqiao Duan and Beniamin Goldys
- Ergodicity of Stochastically Forced Large Scale Geophysical Flows
(174K, ps)
Apr 25, 01
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Abstract. We investigate the ergodicity of 2D large scale
quasigeostrophic flows under
random wind forcing. We show that
the quasigeostrophic flows are ergodic under suitable conditions on the
random forcing and on the fluid domain, and under no restrictions
on viscosity, Ekman constant
or Coriolis parameter. When these
conditions are satisfied, then for any observable of
the quasigeostrophic flows, its time average
approximates the statistical ensemble average, as long as the time
interval is sufficiently long.
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