Rigorous derivation from Landau-de Gennes theory to Ericksen-Leslie theory
Wang, Wei; Zhang, Pingwen; Zhang, Zhifei;
Subject: Mathematics - Analysis of PDEs
arxiv: Mathematics::Analysis of PDEs | Quantitative Biology::Populations and Evolution
Starting from Beris-Edwards system for the liquid crystal, we present a rigorous derivation of Ericksen-Leslie system with general Ericksen stress and Leslie stress by using the Hilbert expansion method.