Abstract
In this project we intend to study existence and stability of large solutions for some fluid mechanics models come from meteorology and geophysics, and associated to the large scale flows, such as Navier-Stokes Coriolis equations, Navier-Stokes-$\alpha$ Coriolis equations, and some quasi-geostrophic models.More specifically, we are interested in questions like: If a solution for one of th…