Global Existence and Regularity for the Active Liquid Crystal System
Analysis of PDEs
2017-01-23 v2
Abstract
In this paper, we study the active hydrodynamics, described in the Q-tensor liquid crystal framework. We prove the existence of global weak solutions in dimension two and three, with suitable initial datas. By using Littlewood-Paley decomposition, we also get the higher regularity of the weak solutions and the uniqueness of weak-strong solutions in dimension two.
Keywords
Cite
@article{arxiv.1509.02608,
title = {Global Existence and Regularity for the Active Liquid Crystal System},
author = {Gui-Qiang Chen and Apala Majumdar and Dehua Wang and Rongfang Zhang},
journal= {arXiv preprint arXiv:1509.02608},
year = {2017}
}
Comments
The typos are corrected