Regularity of weak solutions to magneto-micropolar fluid equations. (English) Zbl 1240.35421
Summary: In this article, we study the regularity of weak solutions and the blow-up criteria for smooth solutions to the magneto-micropolar fluid equations in . We obtain the classical blow-up criteria for smooth solutions , i.e., for with or for satisfying . Moreover, our results indicate that the regularity of weak solutions is dominated by the velocity of the fluid. In the end-point case , the blow-up criteria can be extended to more general spaces .
|35Q35||PDEs in connection with fluid mechanics|
|35B65||Smoothness and regularity of solutions of PDE|
|35D30||Weak solutions of PDE|
|76W05||Magnetohydrodynamics and electrohydrodynamics|