Asymptotic behavior of critical dissipative quasi-geostrophic equation in Fourier space

Jamel Benameur, Saber Ben Abdallah

In this paper we show the global existence for critical dissipative quasi-geostrophic equations if $\Vert \widehat{{\theta }^0}{\Vert }_{L^1}$ is small enough; among others we prove the analyticity…