SCALING INVARIANT BLOW-UP CRITERIA FOR SIMPLIFIED VERSIONS OF ERICKSEN-LESLIE SYSTEM

被引：2
|
作者：
Lee, Jihoon [1 ]
机构：
[1] Chung Ang Univ, Dept Math, Seoul 156756, South Korea
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S | 2015年 / 8卷 / 02期
基金：
新加坡国家研究基金会;
关键词：
Ericksen-Leslie system; blow-up criterion; Navier-Stokes; LIQUID; REGULARITY; FLOW;
D O I：
10.3934/dcdss.2015.8.381
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we establish scaling invariant blow-up criteria for a classical solution to simplified version of two and three dimensional Ericksen-Leslie system. We also consider the model replacing the Navier-Stokes equations by Stokes equations in the system and obtain blow-up criterion in three dimensions.
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页码：381 / 388
页数：8
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