Articles

LOW MACH NUMBER LIMIT OF A COMPRESSIBLE NON-ISOTHERMAL NEMATIC LIQUID CRYSTALS MODEL

  • Jishan FAN ,
  • Fucai LI
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  • 1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing 210037, China;
    2. Department of Mathematics, Nanjing University, Nanjing 210093, China

Received date: 2018-02-08

  Revised date: 2018-08-10

  Online published: 2019-05-06

Supported by

Fan was supported by NSFC (11171154). Li was supported in part by by NSFC (11671193), and A Project Funded by the Priority Academic Program Development of Jiangsu Higher Education Institutions.

Abstract

In this paper, we study the low Mach number limit of a compressible nonisothermal model for nematic liquid crystals in a bounded domain. We establish the uniform estimates with respect to the Mach number, and thus prove the convergence to the solution of the incompressible model for nematic liquid crystals.

Cite this article

Jishan FAN , Fucai LI . LOW MACH NUMBER LIMIT OF A COMPRESSIBLE NON-ISOTHERMAL NEMATIC LIQUID CRYSTALS MODEL[J]. Acta mathematica scientia, Series B, 2019 , 39(2) : 449 -460 . DOI: 10.1007/s10473-019-0210-x

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