一类具有瑞利摩擦水平正压的两层海洋风场系统（英文）  

A Class of Wind Field System for Two-layers Horizontal Barotropic Ocean System with Rayleigh Friction

作　　者：史娟荣[1,2] 林万涛[3] 莫嘉琪[4] 

机构地区：[1]安徽机电职业技术学院基础教学部,安徽芜湖241002 [2]上海交通大学数学系,上海200240 [3]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,北京100029 [4]安徽师范大学数学系,安徽芜湖24100

出　　处：《应用数学》2016年第4期761-768,共8页Mathematica Applicata

基　　金：Supported by the National Natural Science Foundation of China(41275062,11202106);the Natural Science Foundation of the Education Department of Anhui Province,China(KJ2015A418)

摘　　要：本文研究一类具有Rayleigh摩擦水平正压的两层海洋风场的非线性复杂系统.并在中纬度风场强迫的情况下,利用改进了的摄动方法,首先构造了退化系统的精确解;其次依次得到各次近似解;然后利用合成展开原理得到复杂系统的渐近解;最后,通过举例,说明得到的结果具有较好近似度的渐近解并讨论了对应解的物理意义.A class of wind field nonlinear complicated system for two-layers barotropic horizontal ocean with Rayleigh friction is studied. First, by using the improved pertur-bation method, the exact solution to the reduced system is obtained; Next, all the time approximate solutions are got respectively; Then, the asymptotic solution to complicated system is constructed by using the complex developed method; Finally an the example illustrates that the obtained result possesses better approximate degree and the physical meaning of corresponding solution is also discussed.

关 键 词：水平正压 风场 渐近方法 

分 类 号：O175.14[理学—数学]