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arXiv · 1601.07695

Global solution to the three-dimensional liquid crystal flows of Q-tensor model

Yao Xiao
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Abstract

A complex non-Newtonian fluid models the nematic liquid crystal flows confined in a bounded domain in $\mathbb{R}^3$ is considered. The system is a forced incompressible Navier-Stokes equation coupled with a parabolic type Q-tensor flows. Under suitable condition on the coefficients of the Landau-de Gennes energy functional, global strong solution for small initial data is proved.

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Yao Xiao. 2016-01-28. Global solution to the three-dimensional liquid crystal flows of Q-tensor model. https://doi.org/10.1016/j.jde.2016.10.011

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