A free boundary problem for compressible hydrodynamic flow of liquid crystals in one dimension |
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| Authors: | Shijin Ding Jinrui Huang Fengguang Xia |
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| Institution: | 1. School of Mathematical Sciences, South China Normal University, Guangzhou 510631, PR China;2. School of Mathematics and Computational Science, Wuyi University, Jiangmen 529020, PR China |
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| Abstract: | In this paper, we consider the free boundary problem for a simplified version of Ericksen–Leslie equations modeling the compressible hydrodynamic flow of nematic liquid crystals in dimension one. We obtain both existence and uniqueness of global classical solutions provided that the initial density is away from vacuum. |
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| Keywords: | 76N10 35Q30 35R35 |
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