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A regularity criterion via horizontal components of velocity and molecular orientations for the 3D nematic liquid crystal flows
AIMS Mathematics 2022, 7(5): 9278-9287
Published: 15 May 2022
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In this paper, we obtain a regularity criterion via horizontal components of velocity and molecular orientations for the 3D nematic liquid crystal flows. That is the smooth solution ( u , d ) can be extended beyond T, provided that 0 T ( | | u h | | B ˙ , 0 2 + | | d | | B ˙ , 0 2 ) d t < .

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