The dissipative two dimensional Quasi-Geostrophic Equation (2D QGE) is studied. First, we prove existence and uniqueness of the solution, local in time, in the critical Sobolev space H2–2α with ...

We study the 2D surface quasi-geostrophic equation for thermal active scalars, that is an equation arising in the study of fast rotating fluids. This equation is a model problem for the 3D Euler ...