Global Existence of Strong Solutions for Beris–Edwards’s Liquid Crystal System in Dimension Three

We consider a system, established by Beris and Edwards in the Q-tensor framework, modeling the incompressible flow of nematic liquid crystals. The coupling system consists of the Navier–Stokes equation and the evolution equation for the Q-tensor. We prove the global existence of strong solutions in...

Full description

Saved in:
Bibliographic Details
Published in:Mathematics (Basel) 2019-10, Vol.7 (10), p.972
Main Authors: Luo, Yongshun, Li, Sirui, Zhao, Fangxin
Format: Article
Language:English
Subjects:
Behavior
beris–edwards system
Boundary conditions
Computational fluid dynamics
Dirichlet problem
Energy
Fluid flow
Food science
global strong solutions
Incompressible flow
Investigations
Liquid crystals
Nematic crystals
q-tensor
Tensors
Viscosity
Citations: Items that this one cites
Online Access:Get full text
Tags: Add Tag
No Tags, Be the first to tag this record!
Description
Summary:We consider a system, established by Beris and Edwards in the Q-tensor framework, modeling the incompressible flow of nematic liquid crystals. The coupling system consists of the Navier–Stokes equation and the evolution equation for the Q-tensor. We prove the global existence of strong solutions in a three-dimensional bounded domain with homogeneous Dirichlet boundary conditions, under the assumption that the viscosity is sufficiently large.
ISSN:2227-7390
2227-7390
DOI:10.3390/math7100972