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 a three-dimensional bounded domain with homogeneous Dirichlet boundary conditions, under the assumption that the viscosity is sufficiently large.

Abstract licence: CC BY

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