Averaging Principle for Quasi-Geostrophic Motions under Rapidly Oscillating Forcing

2000/10/26 by Hongjun Gao, Gao, Hongjun, Jinqiao Duan +1
Mathematics · Physics and Astronomy · #34G20 #35Q35 #76U05 #86A05 #Analysis of PDEs (math.AP) #Atmospheric and Oceanic Physics (physics.ao-ph) #Chaotic Dynamics (nlin.CD) #Dynamical Systems (math.DS) #FOS: Mathematics #FOS: Physical sciences #Fluid Dynamics (physics.flu-dyn) #Geophysics (physics.geo-ph) #Mathematical Physics (math-ph) #Pattern Formation and Solitons (nlin.PS) #math-ph #math.AP #math.DS #math.MP #msc:34G20 #msc:35Q35 #msc:76U05 #msc:86A05 #nlin.CD #nlin.PS #physics.ao-ph #physics.flu-dyn #physics.geo-ph

paper · pdf · doi:10.48550/arxiv.math/0010256

Latex, 17 pages

arxiv created 2000/10/26 · arxiv updated 2016/09/07

Abstract

In this paper, the averaging principle for quasi-geostrophic motions with rapidly oscillating forcing is proved, both on finite but large time intervals and on the entire time axis. This includes comparison estimate, stability estimate, and convergence result between quasi-geostrophic motions and its averaged motions. Furthermore, the existence of almost periodic quasi-geostrophic motions and attractor convergence are also investigated.

Related

• Time-Periodic Quasigeostrophic Motion under Dissipation and Forcing
• Dissipative Quasigeostrophic Motion under Temporally Almost Periodic Forcing
• Averaging method and asymptotic solutions in some mechanical problems
• A Remark on the Three Dimensional Baroclinic Quasigeostrophic Dynamics
• Time-averages of Fast Oscillatory Systems in Three-dimensional Geophysical Fluid Dynamics and Electromagnetic Effects