Article published by , ,
Abstract
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.
Keywords:
Q-tensors, liquid crystals, fluid dynamics
Citation:
Murza AC, Teruel AE, Zarnescu AD.
Shear flow dynamics in the Beris-Edwards model of nematic liquid crystals.
Proc. R. Soc. A 474: 20170673.
http://dx.doi.org/10.1098/rspa.2017.0673
https://arxiv.org/abs/1709.07157
Published data: 15/02/2018
(Figure 3 from the paper. Global phase portrait of system.)
