A regularity criterion for the critical and supercritical dissipative quasi-geostrophic equations. (English) Zbl 1197.35207
Summary: By using a well-known commutator estimate, we give a new regularity criterion for the 2D dissipative quasi-geostrophic equations in the critical and supercritical cases.
MSC:
| 35Q35 | PDEs in connection with fluid mechanics |
| 76B03 | Existence, uniqueness, and regularity theory for incompressible inviscid fluids |
| 35B65 | Smoothness and regularity of solutions to PDEs |
| 86A05 | Hydrology, hydrography, oceanography |
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