Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing

GAO Hong-jun; DUAN Jin-qiao

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GAO Hong-jun, DUAN Jin-qiao. Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing[J]. Applied Mathematics and Mechanics, 2005, 26(1): 99-110.

Citation:

GAO Hong-jun, DUAN Jin-qiao. Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing[J]. Applied Mathematics and Mechanics, 2005, 26(1): 99-110.

Citation:

GAO Hong-jun, DUAN Jin-qiao. Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing[J]. Applied Mathematics and Mechanics, 2005, 26(1): 99-110.

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Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing

GAO Hong-jun¹,
DUAN Jin-qiao²

1.
Department of Mathematics, Nanjing Normal University, Nanjing 210097, P. R. China;

Received Date: 2003-04-01
Rev Recd Date: 2004-09-14
Publish Date: 2005-01-15

Abstract

Abstract

A class of large scale geophysical fluid fows 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.
- quasi-geostrophic fluid flow,
- almost periodic motion,
- rapidly oscillating forcing,
- averaging principle,
- stable manifold and unstable manifold

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References(22)

References

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