2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/114262We show that the the 2 D quasi-geostrophic equation has global and unique strong solution, when the (large) data belongs in the critical, scale invariant space $\dot{B}^{2-2\al}_{2, \infty}\cap L^{2/(2\al-1)}$.Analysis of PDEs35Q35, 36D03, 35K55, 76B65text