Abstract
We obtain regularity criteria for a quasi-geostrophic equation that depends more on one direction than the others. In particular, we show that in the critical case, the global regularity depends only on a partial derivative rather than a gradient of the solution.
Original language | English |
---|---|
Pages (from-to) | 4950-4956 |
Number of pages | 7 |
Journal | Nonlinear Analysis, Theory, Methods and Applications |
Volume | 75 |
Issue number | 13 |
DOIs | |
State | Published - Sep 2012 |
Keywords
- Mixed Lebesgue space
- Quasi-geostrophic equation
- Regularity criteria