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

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.

Keywords:

• Boussinesq equations
• regularity criteria
• Serrin-type criterion

AMS Subject Classification::

• 76B03
• 76D03
• 76D05

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).