Blow-up of the Smooth Solution to the Compressible Nematic Liquid Crystal System |
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| Authors: | Guangwu Wang Boling Guo |
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| Affiliation: | 1.School of Mathematics and Information Science,Guangzhou University,Guangzhou,P.R. China;2.Graduate School of China Academy of Engineering Physics,Beijing,P.R. China;3.Institute of Applied Physics and Computational Mathematics,China Academy of Engineering Physics,Beijing,P.R. China |
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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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