Abstract
In this paper we show the global existence for critical dissipative quasi-geostrophic equations if parallel to theta(0)parallel to(L1) is small enough; among others we prove the analyticity of such a solution. If in addition the initial condition verifies vertical bar D vertical bar(-delta)theta(0) is an element of L-1(R-2) with 0 < delta < 1, then the solution remains regular and lim(t ->infinity) t(delta)parallel to theta(0)parallel to(L1) = 0. Fourier analysis and standard techniques are used. (C) 2020 Elsevier Inc. All rights reserved.