On the number of singular points to the flow of nematic liquid crystals

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• 作者：Wenke Tan ; Zhaoyang Yin
• 关键词：Nematic liquid crystals ; Suitable weak solution ; Regular point ; Singular point
• 刊名：Journal of Evolution Equations
• 出版年：2016
• 出版时间：March 2016
• 年：2016
• 卷：16
• 期：1
• 页码：233-240
• 全文大小：403 KB
• 参考文献：1.De Gennes P.G.: The Physics of Liquid Crystals. Clarendon Press, Oxford (1974)MATH
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  5.Lin F.H.: A new proof of the Caffarelli–Kohn–Nirenberg theorem. Comm. Pure. Appl. Math. 51, 241257 (1998)MathSciNet
  6.Lin, F.H.: Static and moving defects in liquid crystals. Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), pp. 1165–1171, Math. Soc. Japan, Tokyo (1991)
  7.Lin F.H., Liu C.: Partial regularity of the dynamic system modeling the flow of liquid crystals. Discrete Contin. Dyn. Syst. Ser. A 2, 1–22 (1998)MathSciNet MATH
  8.Seregin G.A.: On the number of singular points of weak solutions to the Navier-Stokes equations. Comm. Pure. Appl. Math. 54, 1019–1028 (2001)MathSciNet CrossRef MATH
  
• 作者单位：Wenke Tan (1)
  Zhaoyang Yin (2) (3)
  
  1. Department of Mathematics and Computer Science, Hunan Normal University, Changsha, 410081, China
  2. Department of Mathematics, Sun Yat-sen University, Guangzhou, 510275, China
  3. Faculty of Information Technology, Macau University of Science and Technology, Macau, China
  
• 刊物类别：Mathematics and Statistics
• 刊物主题：Mathematics
  Analysis
  
• 出版者：Birkh盲user Basel
• ISSN：1424-3202

文摘

In this paper, we investigate the singular points of suitable weak solutions of the system modeling the flow of liquid crystals. We obtain an upper bound for the number of singular points at any fixed time.