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.
- Publication:
-
Communications in Mathematical Physics
- Pub Date:
- December 2009
- DOI:
- 10.1007/s00220-009-0851-z
- arXiv:
- arXiv:0903.1391
- Bibcode:
- 2009CMaPh.292..797F
- Keywords:
-
- Analytic Semigroup;
- Linear Instability;
- Nonlinear Instability;
- Bootstrap Argument;
- Boundary Layer Analysis;
- Mathematics - Analysis of PDEs
- E-Print:
- 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