A Hopf-bifurcation theorem for the critically dissipative quasi-geostrophic equation

Abstract

This paper is devoted to the study of the dynamical behavior of the critically dissipative quasi-geostrophic equation in $\textbf{T}^2$. We prove that this system possesses time-dependent periodic solutions, bifurcating from a smooth steady solution, i.e. a Hopf-Bifurcation theorem.

This paper has been withdrawn by the author due to a crucial estimate error