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Applicable Analysis
An International Journal
Volume 89, 2010 - Issue 10
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Original Articles

Serrin-type blow-up criteria for 3D Boussinesq equations

Hua Qiu Department of Applied Mathematics, South China Agricultural University, Guangzhou 510642, P.R. China; School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, P.R. ChinaCorrespondence[email protected]
,
Yi Du School of Mathematical Sciences, South China Normal University, Guangzhou 510631, P.R. China
&
Zheng'an Yao School of Mathematics and Computational Science, Sun Yat-Sen University, Guangzhou 510275, P.R. China
Pages 1603-1613 | Received 10 Mar 2010, Accepted 08 May 2010, Published online: 15 Jul 2010
 
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Abstract

In this article, we consider the three-dimensional Boussinesq equations with the incompressibility condition. We obtain some Serrin-type regularity conditions for the three-dimensional Boussinesq equations.

AMS Subject Classification::

Acknowledgements

H. Qiu was partly supported by the NSF of China (10871075). Y. Du was partly supported by the NSF of China (10826069) and the Postdoctoral Science Foundation of China (20090450902). Z. Yao was partly supported by the NSF of China (10971234).

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