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

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 th...

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Main Authors:	Boling Guo, Lan Zeng, Guoxi Ni
Format:	Article
Language:	English
Published:	Texas State University 2019-01-01
Series:	Electronic Journal of Differential Equations
Subjects:	Low Mach number limit compressible nematic liquid crystal flows bounded domain
Online Access:	http://ejde.math.txstate.edu/Volumes/2019/14/abstr.html

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spelling	doaj-a42044f9ddd74802919b004063ab5b7e2020-11-24T22:07:35ZengTexas State UniversityElectronic Journal of Differential Equations1072-66912019-01-01201914,113Low Mach number limit of compressible nematic liquid crystal flows with well-prepared initial data in a 3D bounded domainBoling Guo0Lan Zeng1Guoxi Ni2 Inst. of Applied Physics and Comp. Math. Beijing, China China Academy of Engineering Physics, Beijing, China Inst. of Applied Physics and Comp. Math. Beijing, China 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.http://ejde.math.txstate.edu/Volumes/2019/14/abstr.htmlLow Mach number limitcompressible nematic liquid crystal flowsbounded domain
collection	DOAJ
language	English
format	Article
sources	DOAJ
author	Boling Guo Lan Zeng Guoxi Ni
spellingShingle	Boling Guo Lan Zeng Guoxi Ni Low Mach number limit of compressible nematic liquid crystal flows with well-prepared initial data in a 3D bounded domain Electronic Journal of Differential Equations Low Mach number limit compressible nematic liquid crystal flows bounded domain
author_facet	Boling Guo Lan Zeng Guoxi Ni
author_sort	Boling Guo
title	Low Mach number limit of compressible nematic liquid crystal flows with well-prepared initial data in a 3D bounded domain
title_short	Low Mach number limit of compressible nematic liquid crystal flows with well-prepared initial data in a 3D bounded domain
title_full	Low Mach number limit of compressible nematic liquid crystal flows with well-prepared initial data in a 3D bounded domain
title_fullStr	Low Mach number limit of compressible nematic liquid crystal flows with well-prepared initial data in a 3D bounded domain
title_full_unstemmed	Low Mach number limit of compressible nematic liquid crystal flows with well-prepared initial data in a 3D bounded domain
title_sort	low mach number limit of compressible nematic liquid crystal flows with well-prepared initial data in a 3d bounded domain
publisher	Texas State University
series	Electronic Journal of Differential Equations
issn	1072-6691
publishDate	2019-01-01
description	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.
topic	Low Mach number limit compressible nematic liquid crystal flows bounded domain
url	http://ejde.math.txstate.edu/Volumes/2019/14/abstr.html
work_keys_str_mv	AT bolingguo lowmachnumberlimitofcompressiblenematicliquidcrystalflowswithwellpreparedinitialdataina3dboundeddomain AT lanzeng lowmachnumberlimitofcompressiblenematicliquidcrystalflowswithwellpreparedinitialdataina3dboundeddomain AT guoxini lowmachnumberlimitofcompressiblenematicliquidcrystalflowswithwellpreparedinitialdataina3dboundeddomain
_version_	1725819644879568896

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

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