Abstract
We study the two-dimensional beta-generalized supercritical quasi- geostrophic equation, and in particular show that to obtain global regularity results, one needs to bound only its partial derivative. Results may be gener- alized to similar active scalars, e.g. the porous media equation.
Original language | English |
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Journal | Electronic Journal of Differential Equations |
Volume | 2013 |
State | Published - Sep 30 2013 |
Keywords
- Porous media equation
- Quasi-geostrophic equation
- Regularity criteria