Sadek Gala, Maria Alessandra Ragusa
This article provides a regularity criterion for the surface quasi-geostrophic equation with supercritical dissipation. This criterion is in terms of the norm of the solution in a Orlicz-Morrey space. The result shows that, if a weak solutions satisfies
for some and , then is regular at t=T. In view of the embedding with and P>1, our result extends the results due to Xiang  and Jia-Dong .
Submitted September 28, 2015. Published June 8, 2016.
Math Subject Classifications: 35Q35, 76D03.
Key Words: Quasi-geostrophic equations; logarithmical regularity criterion; Orlicz-Morrey space.
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| Sadek Gala |
Department of Mathematics
University of Mostaganem, Box 227
Mostaganem 27000, Algeria
| Maria Alessandra Ragusa |
Dipartimento di Matematica e Informatica
Università di Catania
Viale Andrea Doria, 6 95125 Catania, Italy
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