Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation

Mathematics – Analysis of PDEs

Scientific paper

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16 pages, corrected typos, a global bound that was obtained for the unforced equation by Kiselev-Nazarov-Volberg obtained for

Scientific paper

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

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