BLOW-UP CRITERIA OF SMOOTH SOLUTIONS TO THE THREE-DIMENSIONAL MICROPOLAR FLUID EQUATIONS IN BESOV SPACE

被引：4

作者：

Yuan, Baoquan ^{[1
]}

Li, Xiao ^{[1
]}

机构：

[1] Henan Polytech Univ, Sch Math & Informat Sci, Jiaozuo 454000, Henan, Peoples R China

来源：

DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2016年 / 9卷 / 06期

基金：

中国国家自然科学基金;

关键词：

NAVIER-STOKES EQUATIONS; REGULARITY CRITERION; WEAK SOLUTIONS; EXISTENCE; SYSTEM;

D O I：

10.3934/dcdss.2016090

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we investigate the blow-up criteria of smooth solutions and the regularity of weak solutions to the micropolar fluid equations in three dimensions. We obtain that if del(u)(h), del(w)(h) is an element of L-1(0,T; B-infinity infinity(0)) or del(u)(h), del(w)(h) is an element of L-8/3 (0, T; B-infinity infinity(-1)) then the solution (u,w) can be extended smoothly beyond t = T.

引用

页码：2167 / 2179

页数：13

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