Jinqiao Duan and Beniamin Goldys
Ergodicity of Stochastically Forced Large Scale Geophysical Flows
(174K, ps)

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.