Rossby波的线性稳定性

摘要

该文从描写β-平面近似下斜压Rossby波的准地转两层模式的方程组出发,建立了β-平面近似下斜压Rossby波线性稳定性的简单模型,当β看作纬度y的函数β(y)时,讨论斜压Rossby波的稳定性找到了它的控制参数p、q,应用常微分方程的稳定性理论对建立的模型进行定性分析,讨论其稳定性,并给出相应的相速限制。%In this thesis, the equations of a two-layer model of linear the baroclinic Rossby wave in the B-plane approximation are established. When theβ(y) is a function of latitudey,we set up a simple model for the stability of the baroclinicRossby wave and find its control parameterspandq. And the stability theory of ordinary differential equations is used to analysis the model、discuss the stability of it and solve the scope of phase velocityc of the stability of baroclinic Rossby wave.