Zheng-an Yao

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

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.

3D axisymmetric MHD system with regularity in the swirl component of the vorticity

Abstract This paper concerns with the regularity criteria for the 3 D axisymmetric MHD system. It is proved that the control of swirl component of vorticity can ensure the smoothness of the solution.

A landau-lifshitz-type equation in studying thin film micromagnetics

The paper is concerned with a Landau-Lifshitz-type equation which was first raised by DeSimone and Otto, etc., when studying thin film micromagnetics. We get the existence of a continuous solution using penalty approximation, compensated compactness and commutator estimate.