Blow up criterion for three‐dimensional nematic liquid crystal flows with partial viscosity |
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| Authors: | Yu‐Zhu Wang Yin‐Xia Wang |
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| Institution: | School of Mathematics and Information Sciences, North China University of Water Resources and Electric Power, , Zhengzhou, 450011 China |
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| Abstract: | In this paper, we investigate the Cauchy problem for the three‐dimensional nematic liquid crystal flows with partial viscosity, and a blow up criterion of smooth solutions is established. This result is analogous to the celebrated Beale‐Kato‐Majda breakdown criterion for the incompressible Euler equations. Copyright © 2012 John Wiley & Sons, Ltd. |
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| Keywords: | nematic liquid crystal flows smooth solutions blow up criterion |
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