We consider the n-dimensional Boussinesq equations with fractional dissipation, and establish a regularity criterion in terms of the velocity gradient in Besov spaces with negative order.
Submitted February 23, 2016. Published April 19, 2016.
Math Subject Classifications: 35B65, 35Q30, 76D03.
Key Words: Regularity criteria; Generalized Boussinesq equations; fractional diffusion.
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| Zujin Zhang |
School of Mathematics and Computer Sciences
Gannan Normal University
Ganzhou 341000, Jiangxi, China
phone (86) 07978393663
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