Global well-posedness for the dynamical <Emphasis Type="Italic">Q</Emphasis>-tensor model of liquid crystals |
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Authors: | JinRui Huang ShiJin Ding |
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Institution: | 1.School of Mathematics and Computational Science,Wuyi University,Jiangmen,China;2.School of Mathematical Sciences,South China Normal University,Guangzhou,China |
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Abstract: | 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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