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Applicable Analysis
An International Journal
Volume 94, 2015 - Issue 4
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Articles

On the blow-up criterion for the 3D Boussinesq system with zero viscosity constant

Pages 856-862 | Received 18 Jan 2014, Accepted 29 Mar 2014, Published online: 06 May 2014
 

Abstract

In this paper, we obtain a refined blow-up criterion in term of vorticity of fluid for smooth solutions to the 3D Boussinesq system with no viscosity term in the velocity equation, this criterion may admit more singular vorticity than previous ones do. Particularly, it improves Fan’s results.

AMS Subject Classifications:

Acknowledgments

The author would like to thank the referees for their valuable comments and suggestions, which are very helpful for author to improve this paper.

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