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Remarks on regularity criteria for the weak solutions of liquid crystals

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Abstract

In this paper, we consider the regularity criteria for weak solutions of liquid crystals. It is proved that the solution is in fact smooth if the velocity or the velocity gradient belongs to some critical multiplier spaces or Tribel–Lizorkin spaces. As a corollary, we obtain the Beal–Kato–Majda criteria for liquid crystals.

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Correspondence to Zujin Zhang.

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Zhang, Z., Wang, X. & Yao, Za. Remarks on regularity criteria for the weak solutions of liquid crystals. J. Evol. Equ. 12, 801–812 (2012). https://doi.org/10.1007/s00028-012-0155-1

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