Global existence for the regularized surface Quasi-geostrophic equation and its inviscid limits
Global existence for the regularized surface Quasi-geostrophic equation and its inviscid limits
We study solutions of the initial value problem for the 2D regularized surface quasi-geostrophic (RSQG) equation. For initial data, we prove the global existence and uniqueness of weak solution for RSQG equation with subcritical powers. For RSQG equation, we establish some regularization results and prove the inviscid limit of the …