Global solutions to the Maxwell–Navier–Stokes system in a bounded domain in 2D

2020 ◽  
Vol 71 (4) ◽  
Author(s):  
Jishan Fan ◽  
Tohru Ozawa
Keyword(s):  
Bounded Domain ◽  
Stokes System ◽  
Global Solutions ◽  
Navier Stokes

scholarly journals Long-time behavior of global weak solutions for a Beris-Edwards type model of nematic liquid crystals

2020 ◽  
Author(s):  
Blanca CLIMENT-EZQUERRA ◽  
Francisco Guillen-Gonzalez
Keyword(s):  
Liquid Crystal ◽  
Stokes System ◽  
System Modeling ◽  
Fluid Velocity ◽  
Global Solutions ◽  
Navier Stokes ◽  
Type Model ◽  
Time Behavior ◽  
Infinite Time ◽  
Long Time

We consider a generalization of the standard Beris-Edwards system modeling incompressible liquid crystal flows of nematic type. This couples a Navier-Stokes system for the fluid velocity with an evolution equation for the Q-tensors variable describing the direction of liquid crystal molecules. The convergence at infinite time for global solutions is studied and we prove that whole trajectory goes to a single equilibrium by using a Lojasiewicz-Simon’s result.

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