Electron. J. Differential Equations, Vol. 2017 (2017), No. 232, pp. 1-8.

Local well-posedness for an Ericksen-Leslie's parabolic-hyperbolic compressible non-isothermal model for liquid crystals

Jishan Fan, Tohru Ozawa

Abstract:
In this article we prove the local well-posedness for an Ericksen-Leslie's parabolic-hyperbolic compressible non-isothermal model for nematic liquid crystals with positive initial density.

Submitted February 23, 2017. Published September 25, 2017.
Math Subject Classifications: 35Q30, 35Q35, 76N10
Key Words: Compressible; liquid crystals; local well-posedness

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Jishan Fan
Department of Applied Mathematics
Nanjing Forestry University
Nanjing 210037, China
email: fanjishan@njfu.edu.cn
Tohru Ozawa
Department of Applied Physics
Waseda University
Tokyo, 169-8555, Japan
email: txozawa@waseda.jp

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