Incompressible Limit of a Compressible Liquid Crystals System

Yihang Hao, Xian-gao Liu

Published 2012-01-28, updated 2013-05-29Version 3

This article is devoted to the study of the so-called incompressible limit for solutions of the compressible liquid crystals system. We consider the problem in the whole space $\mathbb{R}^{\mathbb{N}}$ and a bounded domain of $\mathbb{R}^{\mathbb{N}}$ with Dirichlet boundary conditions. Here the number of dimension $\mathbb{N}=2$ or 3.