Remarks on Pressure Blow-Up Criterion of the 3D Zero-Diffusion Boussinesq Equations in Margin Besov Spaces

This study is focused on the pressure blow-up criterion for a smooth solution of three-dimensional zero-diffusion Boussinesq equations. With the aid of Littlewood-Paley decomposition together with the energy methods, it is proved that if the pressure satisfies the following condition on margin Besov spaces, pi(x,t) epsilon L2/(2+r) (0, T; over dot(B)(r)(infinity,infinity)) for r = perpendicular to 1, then the smooth solution can be continually extended to the interval (0, T*) for some T* > T. The findings extend largely the previous results.