Geometry and dynamics of a nematic liquid crystal in a uniform shear flow


Chillingworth, D.R.J., Vincente-Alonso, E. and Wheeler, A.A. (2001) Geometry and dynamics of a nematic liquid crystal in a uniform shear flow. Journal of Physics A: Mathematical and General, 34, (7), 1393-1404. (doi:10.1088/0305-4470/34/7/312).

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Description/Abstract

We study the dynamics of a nematic liquid crystal in a shear flow by employing the gradient of the Landau-de Gennes free-energy function on second-rank tensors, modified by constant and rotational terms. We predict configurations of equilibria and periodic solutions found in numerical simulations and explain certain anomalous nongeneric continua of equilibria. The existence of these continua shows that the model is structurally unstable.

Item Type: Article
ISSNs: 0305-4470 (print)
Related URLs:
Subjects: Q Science > QA Mathematics
Divisions: University Structure - Pre August 2011 > School of Mathematics > Applied Mathematics
University Structure - Pre August 2011 > School of Mathematics > Pure Mathematics
ePrint ID: 29107
Date Deposited: 10 May 2006
Last Modified: 27 Mar 2014 18:17
Contact Email Address: D.R.J.Chillingworth@maths.soton.ac.uk
URI: http://eprints.soton.ac.uk/id/eprint/29107

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