磁场微极流方程组弱解的正则性准则
REGULARITY CRITERION FOR WEAK SOLUTIONS TO THE 3D MAGNETO-MICROPOLAR FLUID EQUATIONS

本文研究了三维空间中磁场微极流方程组弱解的正则性准则问题.利用能量估计的方法证明了如果速度场以及磁场满足一定的条件,则弱解在(0,T]是唯一的强解.
In this paper, we study the regularity criterion to magneto-micropolar equations in R3. By energy estimate, we obtain a regularity criterion in terms of direction of the velocity. It is proved that if the velocity field and magnetic field satisfy some conditions, then the weak solution is actually the unique strong solution on (0,T]