Electronic Journal of Differential Equations (Nov 2007)
Global well-posedness for the 2D quasi-geostrophic equation in a critical Besov space
Abstract
We show that the 2D quasi-geostrophic equation has global and unique strong solution when the (large) data belongs in the critical scale invariant space $dot{B}^{2-2alpha}_{2, infty}cap L^{2/(2alpha-1)}$.
