磁微极流体方程组弱解的正则准则

Regularity criteria for weak solutions to the 3D magneto-micropolar fluid equations

利用能量分析法和Littlewood-Paley分解技术研究三维不可压磁微极流体方程组弱解的正则性,得到了用压力p在Lebegue空间,Lorentz空间,BMO空间和Besov空间中的范数控制的弱解正则准则。

We consider the regularity criteria of the weak solutions for the 3D magneto-micropolar fluid equations by en-ergy method and Littlewood-Paley decomposition,and prove some regularity criteria involving the pressure or pressure gradient for weak solutions in Lebegue,Lorentz,BMO and Besov spaces.