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Ergodicity of Stochastically Forced Large Scale Geophysical Flows

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.

preprint2001arXivOpen access
Jinqiao DuanBeniamin Goldys
cond-mat.stat-mechmath.APmath-phmath.DSmath.PRmath.MPnlin.CDphysics.ao-phphysics.data-an
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Open access2 authors9 topics
Imported metadata coverageMissing code, dataset, citation and institution fields are tracked without dominating the paper.Details
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Jinqiao DuanBeniamin Goldys

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