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Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity

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  • Ruiying Wei
  • Zheng-an Yao
  • Yin Li

Abstract

We study the regularity criterion for the 3D nematic liquid crystal flows in the framework of anisotropic Lebesgue space. More precisely, we proved some sufficient conditions in terms of velocity or the fractional derivative of velocity in one direction.

Suggested Citation

  • Ruiying Wei & Zheng-an Yao & Yin Li, 2014. "Regularity Criterion for the Nematic Liquid Crystal Flows in Terms of Velocity," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-4, June.
    • Handle: RePEc:hin:jnlaaa:234809
    DOI: 10.1155/2014/234809
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