A Serrin criterion for compressible nematic liquid crystal flows |
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| Authors: | Xiangdi Huang Yun Wang |
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| Institution: | 1. NCMIS, Academy of Mathematics and Systems Science, Chinese Academy of Sciences, , China;2. Department of Pure and Applied Mathematics, Graduate School of Information Sciences and Technology, Osaka University, , Osaka, Japan;3. School of Mathematics, Soochow University, , Suzhou 225006, PR China |
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| Abstract: | This paper is concerned with a simplified system, proposed by Ericksen and Leslie, modeling the flow of nematic liquid crystals. We establish a blowup criterion for three‐dimensional compressible nematic liquid crystal flows, which is analogous to the well‐known Serrin's blowup criterion for three‐dimensional incompressible viscous flows. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | compressible nematic liquid crystal flows Serrin criterion vacuum |
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