0903.1391Mar 8, 200916 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;
Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation
Susan Friedlander, Nataša Pavlović, Vlad Vicol
Abstract
We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.