REGULARITY OF WEAK SOLUTIONS TO MAGNETO-MICROPOLAR FLUID EQUATIONS

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 R(3). We obtain the classical blow-up criteria for smooth solutions (u, w, b), i.e., u is an element of L(q) (0, T; L(p) (R(3))) for 2/q + 3/p <= 1 with 3 < p <= infinity, u is an element of C([0, T); L(3)(R(3))) or del u is an element of L(q) (0,T; L(p)) for 3/2 < p <= infinity satisfying 2/q + 3/p <= 2. Moreover, our results indicate that the regularity of weak solutions is dominated by the velocity u of the fluid. In the end-point case p = infinity, the blow-up criteria can be extended to more general spaces del u is an element of L(1) (0, t; (B) over dot(infinity,infinity)(0)(R(3))).