Singularly perturbed solution of coupled model in atmosphere-ocean for global climate

被引：0
|
作者：
Jiaqi Mo
Wantao Lin
Hui Wang
机构：
[1] Anhui Normal University,Department of Mathematics
[2] E-Institutes of Shanghai Universities at SJTU,Division of Computational Science
[3] Huzhou Teachers College,LASG, Institute of Atmospheric Physics
[4] Chinese Academy of Sciences,undefined
[5] Chinese Academy of Meteorological Sciences,undefined
来源：
Chinese Geographical Science | 2008年 / 18卷
关键词：
atmosphere-ocean; El Niño-Southern Oscillation; singular perturbation; approximate solution;
D O I：
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中图分类号：
学科分类号：
摘要：
A box model of the interhemispheric thermohaline circulation (THC) in atmosphere-ocean for global elimate is considered. By using the multi-scales method, the asymptotic solution of a simplified weakly nonlinear model is discussed. Firstly, by introducing first scale, the zeroth order approximate solution of the model is obtained. Secondly, by using the multi-scales, the first order approximate equation of the model is found. Finally, second order approximate equation is formed to eliminate the secular terms, and a uniformly valid asymptotic expansion of solution is decided. The multi-scales solving method is an analytic method which can be used to analyze operation sequentially. And then we can also study the diversified qualitative and quantitative behaviors for corresponding physical quantities. This paper aims at providing a valid method for solving a box model of the nonlinear equation.
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页码：193 / 196
页数：3
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