Global regularity for a modified critical dissipative quasi-geostrophic equation

Peter Constantin, Gautam Iyer, Jiahong Wu

In this paper, we consider the modified quasi-geostrophic equation \begin{gather*} \del_t θ+ (u \cdot \grad) θ+ κΛ^αθ= 0 u = Λ^{α- 1} R^{\perp}θ. \end{gather*} with $\kappa >0$, $α\in (…