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 |
| Item ID: | 29107 |
| Date Deposited: | 10 May 2006 |
| Last Modified: | 01 Jun 2011 04:18 |
| Contributors: | Chillingworth, D.R.J. (Author) Vincente-Alonso, E. (Author) Wheeler, A.A. (Author) |
| Date: | 2001 |
| Status: | Published |
| Contact Email Address: | D.R.J.Chillingworth@maths.soton.ac.uk |
| URI: | http://eprints.soton.ac.uk/id/eprint/29107 |
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