Global solution to the three-dimensional liquid crystal flows of Q-tensor model

Abstract

A complex non-Newtonian fluid models the nematic liquid crystal flows confined in a bounded domain in ${\mathbb{R}}^3$ is considered. The system is a forced incompressible Navier-Stokes equation coupled with a parabolic type Q-tensor flows. Under suitable condition on the coefficients of the Landau-de Gennes energy functional, global strong solution for small initial data is proved.

18 pages

References in corpus (3)

• Regularity and existence of global solutions to the Ericksen-Leslie system in ${\mathbb{R}}^2$
• From microscopic theory to macroscopic theory: a systematic study on static modeling for liquid crystals
• Global well-posedness for the dynamical Q-tensor model of liquid crystals

Cited by in corpus (2)

• Entropy inequality and energy dissipation of inertial Qian-Sheng model for nematic liquid crystals
• Global well posedness for a Q-tensor model of nematic liquid crystals