Global regularity for the supercritical dissipative quasi-geostrophic   equation with large dispersive forcing
  We consider the 2D quasi-geostrophic equation with supercritical dissipation and dispersive forcing in the whole space. When the dispersive amplitude parameter is large enough, we prove the global well-posedness of strong solution to the equation with large initial data. We also show the strong convergence result as the amplitude parameter goes to $\infty$. Both results rely on the Strichartz-type estimates for the corresponding linear equation. 
M.Cannone, C. Miao and L.Xue
math.AP math-ph math.MP