Averaging Principle for Quasi-Geostrophic Motion Under Rapidly Oscillating Forcing
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摘要: 一类大尺度的地球物理流体流可以用拟地转方程来描述.有限、但是大时间区间和整个时间轴上在快速振荡外力下的拟地转运动的平均原理被得到了.其中包括比较估计,稳定性估计和拟地转运动及其平均运动之间的收敛性.进一步,几乎周期拟地转运动的存在性和吸引子的收敛性也被得到了.
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关键词:
- 拟地转流体流 /
- 几乎周期运动 /
- 快速振荡外力 /
- 平均原理 /
- 稳定流形和不稳定流形
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. -
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