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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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