turkmath.org

The dynamical processes involved in the description of geophysical flows in the atmosphere and the ocean are extremely complex. There are a multitude of physical variables, several processes that determine the evolution of these variables and a wide range of spatial and temporal scales. The simplest set of equations that meaningfully describe the large scale flows in the atmosphere or mesoscale flows in the oceans are the so called quasi-geostrophic equations. I will present some recent results on the stability and transitions of the exact solutions in various models of barotropic quasi-geostrophic equations.