Local well-posedness and small Deborah limit of a molecule-based $Q$-tensor system
Analysis of PDEs
2014-10-14 v1
Abstract
In this paper, we consider a hydrodynamic -tensor system for nematic liquid crystal flow, which is derived from Doi-Onsager molecular theory by the Bingham closure. We first prove the existence and uniqueness of local strong solution. Furthermore, by taking Deborah number goes to zero and using the Hilbert expansion method, we present a rigorous derivation from the molecule-based -tensor theory to the Ericksen-Leslie theory.
Keywords
Cite
@article{arxiv.1410.3286,
title = {Local well-posedness and small Deborah limit of a molecule-based $Q$-tensor system},
author = {Sirui Li and Wei Wang and Pingwen Zhang},
journal= {arXiv preprint arXiv:1410.3286},
year = {2014}
}
Comments
44 pages