We prove that linear instability implies non-linear instability in the energy norm for the critically dissipative quasi-geostrophic equation.
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
Friedlander, S., Pavlović, N., & Vicol, V. (2009). Nonlinear instability for the critically dissipative quasi-geostrophic equation. Communications In Mathematical Physics, 292(3), 797-810. https://doi.org/10.1007/s00220-009-0851-z