From microscopic theory to macroscopic theory: dynamics of the rod-like liquid crystal molecules
Analysis of PDEs
2016-11-26 v1
Abstract
Starting from Doi-Onsager equation for the liquid crystal, we first derive the Q-tensor equation by the Bingham closure. Then we derive the Ericksen-Leslie equation from the Q-tensor equation by taking the small Deborah number limit.
Keywords
Cite
@article{arxiv.1305.4721,
title = {From microscopic theory to macroscopic theory: dynamics of the rod-like liquid crystal molecules},
author = {Wei Wang and Pingwen Zhang and Zhifei Zhang},
journal= {arXiv preprint arXiv:1305.4721},
year = {2016}
}
Comments
23 pages, 1 figure