Abstract
We use a non-local maximum principle to prove the global existence of smooth solutions for a slightly supercritical surface quasi-geostrophic equation. By this we mean that the velocity field u is obtained from the active scalar by a Fourier multiplier with symbol iζ ⊥|ζ| -1m(|ζ|), where m is a smooth increasing function that grows slower than log log|ζ| as |ζ| → ∞.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 1525-1535 |
| Number of pages | 11 |
| Journal | Nonlinearity |
| Volume | 25 |
| Issue number | 5 |
| DOIs | |
| State | Published - May 2012 |
All Science Journal Classification (ASJC) codes
- Statistical and Nonlinear Physics
- Mathematical Physics
- General Physics and Astronomy
- Applied Mathematics