Remarks on the regularity criterion for the nematic liquid crystal flows in R3

Chenyin Qian

Applied Mathematics and Computation, 2016, vol. 274, issue C, 679-689

Abstract: In this paper, we investigate the regularity criteria for the 3D nematic liquid crystal flows in terms of the components of the velocity u or the gradient of the velocity field ∇u. More precisely, the anisotropic integrability regularity criterion to the 3D nematic liquid crystal flows involving ∂iu,i=1,2,3 is obtained firstly, and then it is proved that the solution is regular if u3, ω3 or ∂3u3, ω3 satisfies the Prodi–Serrin type conditions.

Keywords: Nematic liquid crystal flows; Anisotropic integrability; Regularity criterion (search for similar items in EconPapers)
Date: 2016
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:274:y:2016:i:c:p:679-689

DOI: 10.1016/j.amc.2015.11.007

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