Article ID Journal Published Year Pages File Type
6420044 Applied Mathematics and Computation 2016 11 Pages PDF
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.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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