2001/04/12 by Jinqiao Duan, Duan, Jinqiao, Beniamin Gołdys +1
Earth and Planetary Sciences · Mathematics · #37A25 #60H15 #76D05 #86A05 #Aeolian processes and effects #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #Chaotic Dynamics (nlin.CD) #Data Analysis #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Mathematical Physics (math-ph) #Probability (math.PR) #Statistical Mechanics (cond-mat.stat-mech) #Statistics and Probability (physics.data-an) #Stochastic processes and statistical mechanics
paper · pdf · doi:10.48550/arxiv.math/0104142
openalex publication_date 2001/04/12 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.