Decay rates for mild solutions of QGE with critical fractional dissipation in $L^2(\mathbb{R}^2)$

Abstract

In \cite{MRSC1} the authors proved some asymptotic results for the global solution of critical Quasi-geostrophic equation with a condition on the decay of $\widehat{\theta_0}$ near at zero. In this paper, we prove that this condition is not necessary. Fourier analysis and standard techniques are used.