Electron. J. Differential Equations, Vol. 2019 (2019), No. 14, pp. 1-13.

Low Mach number limit of compressible nematic liquid crystal flows with well-prepared initial data in a 3D bounded domain

Boling Guo, Lan Zeng, Guoxi Ni

Abstract:
In this article, we consider the low Mach number limit of the compressible nematic liquid crystal flows in a 3D bounded domain. We establish the uniform estimates with respect to the Mach number for the strong solutions with large initial data in a short time interval. Consequently, we obtain the convergence of the compressible nematic liquid crystal system to the incompressible nematic liquid crystals system as the Mach number tends to zero.

Submitted March 15, 2018. Published January 28, 2019.
Math Subject Classifications: 35Q35, 35M33, 75A15, 76N99.
Key Words: Low Mach number limit; compressible nematic liquid crystal flows; bounded domain.

Show me the PDF file (222 KB), TEX file for this article.

  Boling Guo
Institute of Applied Physics and Computational Mathematics
Beijing, 100088, China
email: gbl@iapcm.ac.cn
Lan Zeng
Graduate School of China Academy of Engineering Physics
Beijing, 100088, China
email: zenglan1206@126.com
  Guoxi Ni
Institute of Applied Physics and Computational Mathematics
Beijing, 100088, China
email: gxni@iapcm.ac.cn

Return to the EJDE web page