Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation

Abstract

We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.

16 pages, corrected typos, a global bound that was obtained for the unforced equation by Kiselev-Nazarov-Volberg obtained for the forced equation and utilized in the paper;