Averaging Principle for Quasi-Geostrophic Motions under Rapidly Oscillating Forcing
Analysis of PDEs
2016-09-07 v1 Mathematical Physics
Dynamical Systems
math.MP
Chaotic Dynamics
Pattern Formation and Solitons
Atmospheric and Oceanic Physics
Fluid Dynamics
Geophysics
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.
Keywords
Cite
@article{arxiv.math/0010256,
title = {Averaging Principle for Quasi-Geostrophic Motions under Rapidly Oscillating Forcing},
author = {Hongjun Gao and Jinqiao Duan},
journal= {arXiv preprint arXiv:math/0010256},
year = {2016}
}
Comments
Latex, 17 pages