On center singularity for compressible spherically symmetric nematic liquid crystal flows |
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Authors: | Yun Wang Xiangdi Huang |
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Affiliation: | 1. Department of Mathematics, Soochow University, SuZhou, 215006, People''s Republic of China;2. NCMIS, AMSS, Chinese Academy of Sciences, Beijing, 100190, People''s Republic of China |
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Abstract: | The paper is concerned with a simplified system, proposed by Ericksen [6] and Leslie [20], modeling the flow of nematic liquid crystals. In the first part, we give a new Serrin's continuation principle for strong solutions of general compressible liquid crystal flows. Based on new observations, we establish a localized Serrin's regularity criterion for the 3D compressible spherically symmetric flows. It is proved that the classical solution loses its regularity in finite time if and only if, either the concentration or vanishing of mass forms or the norm inflammation of gradient of orientation field occurs around the center. |
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Keywords: | 35Q35 35B65 76N10 Compressible nematic liquid crystal flows Blowup criterion Spherically symmetric flows |
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