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.

Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing

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