Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation
Analysis of PDEs
2015-05-13 v2
Abstract
We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.
Cite
@article{arxiv.0903.1391,
title = {Nonlinear Instability for the Critically Dissipative Quasi-Geostrophic Equation},
author = {Susan Friedlander and Nataša Pavlović and Vlad Vicol},
journal= {arXiv preprint arXiv:0903.1391},
year = {2015}
}
Comments
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;