完整Coriolis力作用下的非线性近惯性波  

Nonlinear Near Inertial Waves With Complete Coriolis Effects

作　　者：杜春瑶 杨联贵[1] 张永利[1] 张瑞岗[1] DU Chunyao;YANG Liangui;ZHANG Yongli;ZHANG Ruigang(School of Mathematical Sciences, Inner Mongolia University, Hohhot 010000, P.R.China)

机构地区：[1]内蒙古大学数学科学学院

出　　处：《应用数学和力学》2019年第9期1000-1010,共11页Applied Mathematics and Mechanics

基　　金：国家自然科学基金(11762011)~~

摘　　要：从包含有完整Coriolis力作用下的大气运动原始基本方程组出发,通过尺度分析,采用多重尺度法及摄动展开法,推导了中高纬大气非线性近惯性波振幅演化所满足的Korteweg-de Vries方程.从演化方程的结果可以看出Coriolis参数水平分量对非线性近惯性波的影响,主要体现为对频散效应的修正及与基本流的相互作用.从理论上解释了完整Coriolis力作用下的中高纬地区大气非线性近惯性波运动的物理机制.Based on the original basic equations of atmospheric motion under the action of the complete Coriolis force, through the scale analysis, the multi-scale method and the perturbation expansion method were used to derive the Korteweg-de Vries equation satisfying the amplitude evolution of the atmospheric near inertial wave at the mid-high latitudes. The results of the evolution equation show that, the influence of the horizontal component of the Coriolis parameter on the nonlinear near inertial wave mainly lies in the correction of the dispersion effect and the interaction with the elementary stream. The physical mechanism of atmospheric near inertial wave motion at the mid-high latitudes under the action of the complete Coriolis force was theoretically explained.

关 键 词：近惯性波 完整Coriolis力 KORTEWEG-DE VRIES方程 

分 类 号：O175[理学—数学]