Electron. J. Diff. Equ., Vol. 2016 (2016), No. 99, pp. 1-5.

Global regularity criteria for the n-dimensional Boussinesq equations with fractional dissipation

Zujin Zhang

Abstract:
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
email: zhangzujin361@163.com
phone (86) 07978393663

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