Incompressible Limit of the Compressible Nematic Liquid Crystal Flow
  This paper is concerned with the incompressible limit of the compressible hydrodynamic flow of liquid crystals with periodic boundary conditions in R^N(N = 2, 3). It is rigorously shown that the local (and global) strong solution of the compressible system converges to the local (and global) strong solution of the incompressible system. Furthermore, the convergence rates are also obtained in some sense. 
Shijin Ding, Jinrui Huang, Huanyao Wen and Ruizhao Zi
math.AP