Global Existence of Solutions to the 2D subcritical dissipative Quasi-Geostrophic equation and persistency of the initial regularity

Ramzi May, Ezzeddine Zahrouni

In this paper, we prove that if the initial data ${\theta }_0$ and its Riesz transforms (${\mathcal{R}}_1({\theta }_0)$ and ${\mathcal{R}}_2({\theta }_0)$) belong to the space $(\overline{S(\mathbb{R}^2))}^{B…