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arXiv · 1405.1863

Global well-posedness for the dynamical Q-tensor model of liquid crystals

Jinrui Huang·Shijin Ding
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Abstract

In this paper, we consider a complex fluid modeling nematic liquid crystal flows, which is described by a system coupling Navier-Stokes equations with a parabolic Q-tensor system. We first prove the global existence of weak solutions in dimension three. Furthermore, the global well-posedness of strong solutions is studied with sufficiently large viscosity of fluid. Finally, we show a continuous dependence result on the initial data which directly yields the weak-strong uniqueness of solutions.

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Jinrui Huang, Shijin Ding. 2014-05-08. Global well-posedness for the dynamical Q-tensor model of liquid crystals. https://doi.org/10.1007/s11425-015-4990-8

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