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.
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| Boling Guo Institute of Applied Physics and Computational Mathematics Beijing, 100088, China email: gbl@iapcm.ac.cn | |
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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 |
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