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Low Mach Number Limit of a Compressible Non-Isothermal Nematic Liquid Crystals Model

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Abstract

In this paper, we study the low Mach number limit of a compressible non-isothermal 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.

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Authors and Affiliations

  1. Department of Applied Mathematics, Nanjing Forestry University, Nanjing, 210037, China

    Jishan Fan

  2. Department of Mathematics, Nanjing University, Nanjing, 210093, China

    Fucai Li

Authors
  1. Jishan Fan
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  2. Fucai Li
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Corresponding author

Correspondence to Fucai Li.

Additional information

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

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Fan, J., Li, F. Low Mach Number Limit of a Compressible Non-Isothermal Nematic Liquid Crystals Model. Acta Math Sci 39, 449–460 (2019). https://doi.org/10.1007/s10473-019-0210-x

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  • DOI: https://doi.org/10.1007/s10473-019-0210-x

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