On the regularity criterion of strong solutions to the 3D Boussinesq equations

Abstract

This note is devoted to the study of the regularity of strong solutions to the Boussinesq system in which the vorticity and to improve a result of Fan and Ozawa [J. Fan, T. Ozawa, Regularity conditions for the 3D Boussinesq equations with partial viscosity terms, Nonlinearity 22 (2009), pp. 553–568] and Gala [S. Gala, Remark on the regularity criterion on strong solutions to the 3D Boussinesq equations (Submitted)].

Keywords:

• Boussinesq equations
• regularity criterion
• a priori estimates

AMS Subject Classifications::

• 35Q35
• 35B65
• 76D05