Global regularity for the 2D liquid crystal model with mixed partial viscosity

被引：12
|
作者：
Fan, Jishan [1 ]
Alzahrani, Faris Saeed [2 ]
Hayat, Tasawar [2 ,3 ]
Nakamura, Gen [4 ]
Zhou, Yong [2 ,5 ]
机构：
[1] Nanjing Forestry Univ, Dept Appl Math, Nanjing 210037, Jiangsu, Peoples R China
[2] King Abdulaziz Univ, Fac Sci, Dept Math, Jeddah 21589, Saudi Arabia
[3] Quaid I Azam Univ, Dept Math, Islamabad 44000, Pakistan
[4] Inha Univ, Dept Math, Inchon 402751, South Korea
[5] Shanghai Univ Finance & Econ, Sch Math, Shanghai 200433, Peoples R China
来源：
ANALYSIS AND APPLICATIONS | 2015年 / 13卷 / 02期
关键词：
Liquid crystal; partial viscosity; regularity criterion; BOUSSINESQ EQUATIONS; WELL-POSEDNESS; SYSTEM; FLOW; CRITERION;
D O I：
10.1142/S0219530514500481
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
This paper proves the global existence of strong solutions of the 2D liquid crystal model when nu(1) = k(2) = 0, nu(2) = k(1) = 1 or nu(1) = k(2) = 1, nu(2) = k(1) = 0. We also prove some regularity criteria when nu(1) = k(1) = 1, nu(2) = k(2) = 0 or nu(1) = k(1) = 0, nu(2) = k(2) = 1.
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页码：185 / 200
页数：16
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