Global well-posedness for the dynamical Q-tensor model of liquid crystals
Analysis of PDEs
2023-07-19 v2
Abstract
In this paper, we consider a complex fluid modeling nematic liquid crystal flows, which is described by a system coupling Navier-Stokes equations with a parabolic Q-tensor system. We first prove the global existence of weak solutions in dimension three. Furthermore, the global well-posedness of strong solutions is studied with sufficiently large viscosity of fluid. Finally, we show a continuous dependence result on the initial data which directly yields the weak-strong uniqueness of solutions.
Keywords
Cite
@article{arxiv.1405.1863,
title = {Global well-posedness for the dynamical Q-tensor model of liquid crystals},
author = {Jinrui Huang and Shijin Ding},
journal= {arXiv preprint arXiv:1405.1863},
year = {2023}
}