Global existence and uniqueness result for the diffusive Peterlin viscoelastic model

2015 ◽  
Vol 120 ◽  
pp. 154-170 ◽  
Author(s):  
Mária Lukáčová - Medvid’ová ◽  
Hana Mizerová ◽  
Šárka Nečasová
Keyword(s):  
Global Existence ◽  
Existence And Uniqueness ◽  
Viscoelastic Model ◽  
Uniqueness Result ◽  
Global Existence And Uniqueness

scholarly journals Global existence of strong solutions for incompressible hydrodynamic flow of liquid crystals with vacuum

Filomat ◽  
2013 ◽  
Vol 27 (7) ◽  
pp. 1247-1257 ◽  
Author(s):  
Shijin Ding ◽  
Jinrui Huang ◽  
Fengguang Xia
Keyword(s):  
Cauchy Problem ◽  
Liquid Crystals ◽  
Global Existence ◽  
Existence And Uniqueness ◽  
Strong Solutions ◽  
Hydrodynamic Flow ◽  
Three Dimensions ◽  
Small Initial Data ◽  
The Cauchy Problem ◽  
Global Existence And Uniqueness

We consider the Cauchy problem for incompressible hydrodynamic flow of nematic liquid crystals in three dimensions. We prove the global existence and uniqueness of the strong solutions with nonnegative p0 and small initial data.

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