Blow-up of the Smooth Solution to the Compressible Nematic Liquid Crystal System

被引：0
|
作者：
Guangwu Wang
Boling Guo
机构：
[1] Guangzhou University,School of Mathematics and Information Science
[2] Graduate School of China Academy of Engineering Physics,Institute of Applied Physics and Computational Mathematics
[3] China Academy of Engineering Physics,undefined
来源：
Acta Applicandae Mathematicae | 2018年 / 156卷
关键词：
Compressible nematic liquid crystal system; Blow-up; Smooth solution; 35A01; 35B44; 35G61; 76A15;
D O I：
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学科分类号：
摘要：
In this paper, we investigate the blow-up of the smooth solutions to a simplified Ericksen-Lesile system for compressible flows of nematic liquid crystals in different dimensional case. We prove that whether the smooth solution of the Cauchy problem or the initial-boundary problem to the nematic liquid crystal system will blow up in finite time. The main technique is the construction of the functional differential inequality.
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页码：211 / 224
页数：13
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