The Rossby Solitary Wave Under The Basic Flow Of Weak Shear With The ? And ? Effects

The Rossby solitary wave of the barotropic atmospheric model in the atmosphere is a special weather phenomenon in the middle and high latitudes,which has been studied for more than 30 years.In this thesis,the Rossby wave under the basic flow of weak shear in the ?-plane is studied.In meteorology,the produce and development of weather systems in the mid-latitude west wind belt are explained by the theory of baroclinic instability.Baroclinic instability is an important mechanism of disturbance development,which is studied by a lot of meteorological workers in the middle and high latitudes.Therefore,it is mainly centered around the ? effect of the Rossby solitary wave packet on the plane approximation and non-zonal to the baroclinic instability of the basic flow.First of all,from the free atmosphere of positive pressure without divergence vor-ticity equation,by referencing graded coordinates and using multiscale method,the Rossby wave under the basic flow of weak shear is studied in the ?-plane and the pro-moted ?-plane,which obtain the Rossby wave packet satisfied nonlinear Schrodinger equation results.The wave number of the wave packet with the ? effect and the frequency of the Rossby wave are affected,and the ? effect can make atmospheric observations more accurate.Secondly,the baroclinic instability of the basic flow was investigated under the ? effect by using the layered two-layer model.Generally speak-ing,the basic flow of the atmosphere is not pure latitudinal circulation,sometimes the meridional basic airflow can be very strong.Therefore,it is theoretical and beneficial for people's real life to study the baroclinic instability of basic flow under the ? effect.