Two Logarithmically Improved Regularity Criteria for the 3D Nematic Liquid Crystal Flows

Ruirui Wang, Qiang Mu, Yulei Wang, Qiang Li and Yongqiang Fu

Journal of Mathematics, 2022, vol. 2022, 1-12

Abstract: In this paper, we study the regularity criterion for the local smooth solution of the 3D nematic liquid crystal flows. More precisely, it is proved the smooth solution u,d can be extended beyond T provided that ∫0T∇huhB˙∞,∞0+∇dB˙∞,∞02/1+log1+∇uB˙∞,∞0+∇dB˙∞,∞0dt

Date: 2022
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jjmath:4454497

DOI: 10.1155/2022/4454497

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