Asymptotic Behavior for a Nematic Liquid Crystal Model with Different Kinematic Transport Properties
Analysis of PDEs
2012-10-24 v2
Abstract
We study the asymptotic behavior of global solutions to hydrodynamical systems modeling the nematic liquid crystal flows under kinematic transports for molecules of different shapes. The coupling system consists of Navier-Stokes equations and kinematic transport equations for the molecular orientations. We prove the convergence of global strong solutions to single steady states as time tends to infinity as well as estimates on the convergence rate both in 2D for arbitrary regular initial data and in 3D for certain particular cases.
Keywords
Cite
@article{arxiv.0901.1751,
title = {Asymptotic Behavior for a Nematic Liquid Crystal Model with Different Kinematic Transport Properties},
author = {Hao Wu and Xiang Xu and Chun Liu},
journal= {arXiv preprint arXiv:0901.1751},
year = {2012}
}