On the Existence of Weak Solutions to the Steady Compressible Flow of Nematic Liquid Crystals

In this paper, we consider the existence of weak renormalized solutions for the steady compressible flow of nematic liquid crystals in a 3-D bounded domain with no-slip boundary condition. By using a three-level approximation scheme, we establish the existence of weak renormalized solutions under the hypothesis γ>1\documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{mathrsfs} \usepackage{upgreek} \setlength{\oddsidemargin}{-69pt} \begin{document}$$\gamma >1$$\end{document} for the adiabatic constant.