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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), pp. 1393-1404. (doi:10.1088/0305-4470/34/7/312).

Record type: Article

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.

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Published date: 2001
Organisations: Pure Mathematics, Applied Mathematics

Identifiers

Local EPrints ID: 29107
URI: http://eprints.soton.ac.uk/id/eprint/29107
ISSN: 0305-4470
PURE UUID: 4ce4083b-dccd-4904-a59a-d18a6bda18b0

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Date deposited: 10 May 2006
Last modified: 17 Jul 2017 15:59

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