Ergodicity of Stochastically Forced Large Scale Geophysical Flows
Analysis of PDEs
2016-09-07 v1 Statistical Mechanics
Mathematical Physics
Dynamical Systems
math.MP
Probability
Chaotic Dynamics
Atmospheric and Oceanic Physics
Data Analysis, Statistics and Probability
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.
Keywords
Cite
@article{arxiv.math/0104142,
title = {Ergodicity of Stochastically Forced Large Scale Geophysical Flows},
author = {Jinqiao Duan and Beniamin Goldys},
journal= {arXiv preprint arXiv:math/0104142},
year = {2016}
}