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

Geometry and dynamics of a nematic liquid crystal in a uniform shear flow
Geometry and dynamics of a nematic liquid crystal in a uniform shear flow
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.
0305-4470
1393-1404
Chillingworth, D.R.J.
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Vincente-Alonso, E.
f3f77041-a9a4-4989-93dd-1a7bddf8eef8
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73
Chillingworth, D.R.J.
39d011b7-db33-4d7d-8dc7-c5a4e0a61231
Vincente-Alonso, E.
f3f77041-a9a4-4989-93dd-1a7bddf8eef8
Wheeler, A.A.
eb831100-6e51-4674-878a-a2936ad04d73

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).

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
DOI: doi:10.1088/0305-4470/34/7/312
ISSN: 0305-4470
PURE UUID: 4ce4083b-dccd-4904-a59a-d18a6bda18b0

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Date deposited: 10 May 2006
Last modified: 15 Mar 2024 07:28

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Contributors

Author: D.R.J. Chillingworth
Author: E. Vincente-Alonso
Author: A.A. Wheeler

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