Existence of global solutions to the 2-D subcritical dissipative quasi-geostrophic equation and persistency of the initial regularity

In this article, we prove that if the initial data $heta_0$ and its Riesz transforms ($mathcal{R}_1(heta_0)$ and $mathcal{R}_2(heta_0)$) belong to the space $$ (overline{S(mathbb{R}^2))} ^{B_{infty }^{1-2alpha ,infty }}, quad 1/2<alpha <1, $$ then the 2-D Quasi-Geostrophic equa...

Full description

Bibliographic Details
Main Authors: May Ramzi, Ezzeddine Zahrouni
Format: Article
Language:English
Published: Texas State University 2011-01-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/08/abstr.html