Global Weak Solutions for the Compressible Active Liquid Crystal System
Analysis of PDEs
2017-11-15 v1
Abstract
We study the hydrodynamics of compressible flows of active liquid crystals in the Beris-Edwards hydrodynamics framework, using the Landau-de Gennes -tensor order parameter to describe liquid crystalline ordering. We prove the existence of global weak solutions for this active system in three space dimensions by the three-level approximations and weak convergence argument. New techniques and estimates are developed to overcome the difficulties caused by the active terms.
Cite
@article{arxiv.1711.04925,
title = {Global Weak Solutions for the Compressible Active Liquid Crystal System},
author = {Gui-Qiang G. Chen and Apala Majumdar and Dehua Wang and Rongfang Zhang},
journal= {arXiv preprint arXiv:1711.04925},
year = {2017}
}