非静力平衡大气非线性层结对称运动的稳定性和突变  

THE STABILITY AND CATASTROPHE OF NONLINEAR STRATIFICATION SYMMETRIC MOTION IN THE NONHYDROSTATIC BALANCE ATMOSPHERE

作　　者：罗德海[1] 彭晓林[1] 

机构地区：[1]成都气象学院气象研究所,610041

出　　处：《气象学报》1993年第4期414-424,共11页Acta Meteorologica Sinica

摘　　要：在假定了环境地转风具有水平和垂直的线性切变的情况下,考虑大气层结的线性和非线性切变的作用,建立了一个非线性常微分方程组,然后构造了一个Hamilton函数,通过讨论Hamilton函数的凸凹性,得到了非线性层结对称运动的不稳定判据,同时讨论了非线性层结对称运动产生突变的条件。In this paper, based on the assumption of the geostrophic wind with linear horizontal and vertical shear, a nonlinear ordinary differential equation is constructed considering the atmospheric stratification with linear and nonlinear vertical shear. Furthermore, the instability criteria of nonlinear strutification symmetric motion have been obtained by discussing the convexity of Hamilton's function, and the catastrophe condition of nonlinear stratification symmetric motion is discussed.

关 键 词：对称运动 稳定性 大气 非线性层结 

分 类 号：P433[天文地球—大气科学及气象学]