The low Mach number limit for the compressible flow of liquid crystals
详细信息 查看全文
- 作者：Guohua Qi qiguohua90@163.com ; Jiang Xu ; jiangxu79@nuaa.edu.cn
- 关键词：Liquid crystal flow ; Convergence&ndash ; stability principle ; Low Mach number limit
- 刊名：Applied Mathematics and Computation
- 出版年：2017
- 出版时间：15 March 2017
- 年：2017
- 卷：297
- 期：Complete
- 页码：39-49
- 全文大小：419 K
- 卷排序：297
文摘
In this paper, we are concerned with the compressible flow of liquid crystals. Based on the convergence–stability principle, it is shown that, for the Mach number sufficiently small, the Cauchy problem of compressible liquid crystal flow has a unique smooth solution on the (finite) time interval where the incompressible liquid crystal flow exists. Furthermore, it is justified that, as the Mach number tends to zero, the smooth solutions converge rigorously to those of the incompressible equations, and the sharp convergence orders are also obtained.