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Blow-up of the Smooth Solution to the Compressible Nematic Liquid Crystal System

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Abstract

In this paper, we investigate the blow-up of the smooth solutions to a simplified Ericksen-Lesile system for compressible flows of nematic liquid crystals in different dimensional case. We prove that whether the smooth solution of the Cauchy problem or the initial-boundary problem to the nematic liquid crystal system will blow up in finite time. The main technique is the construction of the functional differential inequality.

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Authors and Affiliations

  1. School of Mathematics and Information Science, Guangzhou University, Guangzhou, 510006, P.R. China

    Guangwu Wang

  2. Graduate School of China Academy of Engineering Physics, Beijing, 100088, P.R. China

    Guangwu Wang

  3. Institute of Applied Physics and Computational Mathematics, China Academy of Engineering Physics, Beijing, 100088, P.R. China

    Boling Guo

Authors
  1. Guangwu Wang
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  2. Boling Guo
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Correspondence to Guangwu Wang.

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Wang, G., Guo, B. Blow-up of the Smooth Solution to the Compressible Nematic Liquid Crystal System. Acta Appl Math 156, 211–224 (2018). https://doi.org/10.1007/s10440-018-0160-7

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  • DOI: https://doi.org/10.1007/s10440-018-0160-7

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