厄尔尼诺-南方涛动海-气振子系统的同伦映射解（英文）
发布时间：2019-07-04 07:04
【摘要】：厄尔尼诺-南方涛动是一个涉及赤道太平洋海-气交互作用的年际现象.本文的目的是创建一个求解厄尔尼诺-南方涛动模型非线性系统的渐近方法.首先利用线性齐次常微分系统的特征值理论得到了对应初值问题的解,并以此解为原系统的零次近似解,然后利用同伦映射关系式依次构造原系统的各次迭代解,最后在这基础上借助同伦映射方法研究了厄尔尼诺南方涛动系统海-气振子对应问题的渐近解,并证明了得到的渐近解的一致有效性.从得到的结果看出,同伦映射方法能够用于分析厄尔尼诺-南方涛动系统在赤道东太平洋中的海表温度异常和海-气振子的温跃层深度异常.
[Abstract]:El Nino Southern Oscillation is an interannual phenomenon involving sea-air interaction in the equatorial Pacific. The purpose of this paper is to create an asymptotic method for solving the nonlinear system of El Nino Southern Oscillation model. Firstly, the solution of the corresponding initial value problem is obtained by using the eigenvalue theory of the linear homogeneous ordinary differential system, and the solution is taken as the zero order approximate solution of the original system, and then the iterative solutions of the original system are constructed by using the homotopy mapping relation in turn. Finally, the asymptotic solution of the corresponding problem of the sea-air oscillator of the El Ni 帽 o Southern Oscillation system is studied by means of homotopy mapping method, and the uniform validity of the obtained asymptotic solution is proved. The results show that the homotopy mapping method can be used to analyze the sea surface temperature anomaly and the thermocline depth anomaly of the El Nino Southern Oscillation system in the eastern equatorial Pacific Ocean.
【作者单位】： 安徽机电职业技术学院;中国科学院大气物理研究所大气科学和地球流体力学数值模拟国家重点实验室;安徽师范大学数学系;
【基金】：The National Natural Science Foundation of China(41275062) the Natural Science Foundation of the Education Department of Anhui Province(KJ2015A418)
【分类号】：O175
本文编号：2509724
[Abstract]:El Nino Southern Oscillation is an interannual phenomenon involving sea-air interaction in the equatorial Pacific. The purpose of this paper is to create an asymptotic method for solving the nonlinear system of El Nino Southern Oscillation model. Firstly, the solution of the corresponding initial value problem is obtained by using the eigenvalue theory of the linear homogeneous ordinary differential system, and the solution is taken as the zero order approximate solution of the original system, and then the iterative solutions of the original system are constructed by using the homotopy mapping relation in turn. Finally, the asymptotic solution of the corresponding problem of the sea-air oscillator of the El Ni 帽 o Southern Oscillation system is studied by means of homotopy mapping method, and the uniform validity of the obtained asymptotic solution is proved. The results show that the homotopy mapping method can be used to analyze the sea surface temperature anomaly and the thermocline depth anomaly of the El Nino Southern Oscillation system in the eastern equatorial Pacific Ocean.
【作者单位】： 安徽机电职业技术学院;中国科学院大气物理研究所大气科学和地球流体力学数值模拟国家重点实验室;安徽师范大学数学系;
【基金】：The National Natural Science Foundation of China(41275062) the Natural Science Foundation of the Education Department of Anhui Province(KJ2015A418)
【分类号】：O175
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