  We study the global well-posedness of the supercritical dissipative surface
quasi-geostrophic (SQG) equation, a key model in geophysical fluid dynamics.
While local well-posedness is known, achieving global well-posedness for large
initial data remains open. Motivated by enhanced decay in radial solutions, we
aim to establish global well-posedness for small perturbations of potentially
large radial data. Our main result shows that for small perturbations of radial
data, the SQG equation admits a unique global solution.
