scholarly journals Global existence and stability for a hydrodynamic system in the nematic liquid crystal flows

2012 ◽  
Vol 12 (1) ◽  
pp. 341-357 ◽  
Author(s):  
Jihong Zhao ◽  
Qiao Liu ◽  
Shangbin Cui
Keyword(s):  
Liquid Crystal ◽  
Global Existence ◽  
Nematic Liquid Crystal ◽  
Hydrodynamic System ◽  
Existence And Stability ◽  
Nematic Liquid Crystal Flows

scholarly journals Regularity Criterion for the 3D Nematic Liquid Crystal Flows

2012 ◽  
Vol 2012 ◽  
pp. 1-10 ◽  
Author(s):  
Jishan Fan ◽  
Tohru Ozawa
Keyword(s):  
Liquid Crystal ◽  
Liquid Crystals ◽  
Nematic Liquid Crystal ◽  
Regularity Criterion ◽  
Hydrodynamic Theory ◽  
Nematic Liquid Crystal Flows

We study the hydrodynamic theory of liquid crystals. We prove a logarithmically improved regularity criterion for two simplified Ericksen-Leslie systems.

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