A Regularity Criterion Via the Pressure On the Three-dimensional Micropolar Fluid Equations in Besov Space  

微极流体方程组在Besov空间中弱解的正则性准则

作　　者：LIU Jiang-jun QU Zhen HU Gang 刘讲军;曲桢;胡钢(Huanghe Jiaotong University,Henan,454000,China;Faculty of Sciences Xian University of Technology,Xian 710054,China)

机构地区：[1]Huanghe Jiaotong University,Henan,454000,China [2]Faculty of Sciences Xian University of Technology,Xian 710054,China

出　　处：《Chinese Quarterly Journal of Mathematics》2020年第1期46-55,共10页数学季刊（英文版）

基　　金：Supported by the National Natural Science Foundation of China(NO.51305344)。

摘　　要：In this paper,we investigate the regularity criterion via the pressure of weak solutions to the micropolar fluid equations in three dimensions.We obtain that for 0<α<1 if p€L^(2/a)(0,T;B^α∞,∞),then the weak solution(u,ω)is regular on(0,T).

关 键 词：MICROPOLAR fluid EQUATIONS pressure REGULARITY CRITERIA BESOV space 

分 类 号：O213.2[理学—概率论与数理统计]