A blowup criterion for the compressible nematic liquid crystal flows in dimension two |
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| Authors: | Jincheng Gao Qiang Tao Zheng-an Yao |
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| Institution: | School of Mathematics and Computational Science, Sun Yat-Sen University, 510275, Guangzhou, P. R. China |
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| Abstract: | In this paper, we establish a blowup criterion for the two-dimensional compressible nematic liquid crystal flows. The criterion is given in terms of the density and the gradient of direction field, where the later satisfies the Serrin-type blowup criterion. For this result, we do not need the initial density to be positive. |
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| Keywords: | Compressible nematic liquid crystal flows Strong solution Blowup criterion |
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