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

Yongshun Luo, Sirui Li and Fangxin Zhao
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Yongshun Luo: School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China
Sirui Li: School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China
Fangxin Zhao: School of Mathematics and Statistics, Guizhou University, Guiyang 550025, China

Mathematics, 2019, vol. 7, issue 10, 1-11

Abstract: 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.

Keywords: Beris–Edwards system; liquid crystals; Q-tensor; global strong solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
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