Global existence of strong solutions in H 2 to the diffusion approximation model in radiation hydrodynamics

2017 ◽  
Vol 41 (4) ◽  
pp. 1509-1517
Author(s):  
Jie Cao ◽  
Yuming Qin
Keyword(s):  
Global Existence ◽  
Diffusion Approximation ◽  
Strong Solutions ◽  
Radiation Hydrodynamics ◽  
Approximation Model

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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