AVERAGING PRINCIPLE FOR QUASI-GEOSTROPHIC MOTIONUNDER RAPIDLY OSCILLATING FORCING  

作　　者：高洪俊 段金桥 

机构地区：[1]Department of Mathematics, Nanjing Normal University, Nanjing 210097, P.R.China [2]Department of Applied Mathematics, Illinois Institute of Technology, Chicago, IL 60616, USA

出　　处：《Applied Mathematics and Mechanics(English Edition)》2005年第1期108-120,共13页应用数学和力学（英文版）

基　　金：theNationalNaturalScienceFoundationofChina ( 1 0 0 0 1 0 1 8) ;theNaturalScienceFoundationofJiangsuProvince (BK2 0 0 1 1 0 8) ;theNaturalScienceFoundationofUSA (DMS_9973 2 0 4;DMS_0 1 3 90 93 )

摘　　要：A class of large scale geophysical fluid flows are modelled by the quasi-geostrophic equation. An averaging principle for quasi-geostrophic motion under rapidly oscil-lating ( non-autonomous) forcing was obtained, 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 were also investigated.A class of large scale geophysical fluid flows are modelled by the quasi-geostrophic equation. An averaging principle for quasi-geostrophic motion under rapidly oscil-lating ( non-autonomous) forcing was obtained, 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 were also investigated.

关 键 词：quasi-geostrophic fluid flow almost periodic motion rapidly oscillating forcing averaging principle stable manifold and unstable manifold 

分 类 号：O175[理学—数学]