The 3D Quasigeostrophic Fluid Dynamics under Random Forcing on Boundary
偏微分方程分析
2016-09-07 v1 数学物理
动力系统
math.MP
概率论
大气与海洋物理
数据分析、统计与概率
流体动力学
地球物理
摘要
The three-dimensional baroclinic quasigeostrophic flow model has been widely used to study basic mechanisms in oceanic flows and climate dynamics. In this paper, we consider this flow model under random wind forcing and time-periodic fluctuations on fluid boundary (the interface between the oceans and the atmosphere). The time-periodic fluctuations are due to periodic rotation of the earth and thus periodic exposure of the earth to the solar radiation. After establishing the well-posedness of the baroclinic quasigeostrophic flow model in the state space, we demonstrate the existence of the random attractors, again in the state space. We also discuss the relevance of our result to climate modeling.
引用
@article{arxiv.math/0101001,
title = {The 3D Quasigeostrophic Fluid Dynamics under Random Forcing on Boundary},
author = {Jinqiao Duan and Bjorn Schmalfuss},
journal= {arXiv preprint arXiv:math/0101001},
year = {2016}
}