A regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces

作者：Zhang, Zujin^*; Yao, Zheng An; Wang, Xiaofeng

来源：Nonlinear Analysis-Theory Methods & Applications, 2011, 74(6): 2220-2225.

DOI：10.1016/j.na.2010.11.026

• Magneto-micropolar fluid equations
• Conditional regularity
• Triebel-Lizorkin spaces
• Beal-Kato-Majda criterion

We consider the regularity criterion for the 3D magneto-micropolar fluid equations in Triebel-Lizorkin spaces. It is proved that if del u is an element of L-p (0, T; <(F)over dot>(0)(q,2q/3)) with
2/p 3/q = 2, 3/2 < q <= infinity,
then the solution remains smooth in (0, T). As a corollary, we obtain the classical Beal-Kato-Majda criterion, that is, the condition
del x u is an element of L-1 (0, T; <(B)over dot>(0)(infinity,infinity)),
ensures the smoothness of the solution.

• 出版日期2011-3-15
• 单位中山大学; 广州大学