Global large, smooth solutions of the 2D surface quasi?geostrophic equations

In this paper, we prove the global regularity of smooth solutions to 2D surface quasi-geostrophic (SQG) equations with supercritical dissipation for a class large initial data, where velocity and temperature can be arbitrarily in spaces L ? ( ? 2 ) H 3 ). This result seen as an improvement work Liu et al (2019) it's without any smallness hypothesis norm data.