Incompressible limit for the compressible flow of liquid crystals
Analysis of PDEs
2011-08-26 v1
Abstract
The connection between the compressible flow of liquid crystals with low Mach number and the incompressible flow of liquid crystals is studied in a bounded domain. In particular, the convergence of weak solutions of the compressible flow of liquid crystals to the weak solutions of the incompressible flow of liquid crystals is proved when the Mach number approaches zero; that is, the incompressible limit is justified for weak solutions in a bounded domain.
Keywords
Cite
@article{arxiv.1108.4941,
title = {Incompressible limit for the compressible flow of liquid crystals},
author = {Dehua Wang and Cheng Yu},
journal= {arXiv preprint arXiv:1108.4941},
year = {2011}
}