Ergodicity of Stochastically Forced Large Scale Geophysical Flows

Details Ergodicity of Stochastically Forced Large Scale Geophysical Flows Ergodicity of Stochastically Forced Large Scale Geophysical Flows

2001-04-12

arxiv.org/abs/math/0104142v1

Mathematics

Analysis of PDEs

Scientific paper

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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