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Shear flow dynamics in the Beris-Edwards model of nematic liquid crystals.

Adrian C MurzaAntonio E TeruelArghir D Zarnescu
Published in: Proceedings. Mathematical, physical, and engineering sciences (2018)
We consider the Beris-Edwards model describing nematic liquid crystal dynamics and restrict it to a shear flow and spatially homogeneous situation. We analyse the dynamics focusing on the effect of the flow. We show that in the co-rotational case one has gradient dynamics, up to a periodic eigenframe rotation, while in the non-co-rotational case we identify the short- and long-time regimes of the dynamics. We express these in terms of the physical variables and compare with the predictions of other models of liquid crystal dynamics.
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