BLOW-UP CRITERION OF CLASSICAL SOLUTIONS FOR THE INCOMPRESSIBLE NEMATIC LIQUID CRYSTAL FLOWS

被引：0
|
作者：
高真圣 [1 ]
谭忠 [2 ]
机构：
[1] School of Mathematical Sciences,Huaqiao University
[2] School of Mathematical Sciences,Xiamen
来源：
Acta Mathematica Scientia(English Series) | 2017年 / 37卷 / 06期
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D O I：
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中图分类号：
TQ021.1 [流体力学过程及原理];
学科分类号：
摘要：
In this paper,we consider the short time classical solution to a simplified hydrodynamic flow modeling incompressible,nematic liquid crystal materials in R3. We establish a criterion for possible breakdown of such solutions at a finite time. More precisely,if（u,d）is smooth up to time T provided that ∫0T||▽×u（t,·）||BMO（R3）+||▽d（t,·）||L4（R3）8dt<∞.
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页码：1632 / 1638
页数：7
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