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 RN (N = 2, 3). The local and global existence of strong solutions for the incompressible system with small initial data is rigorously proved via the incompressible limit. Furthermore, the convergence rates are obtained in some sense. © 2013 Elsevier Inc. All rights reserved