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Order parameters in the Landau-de Gennes theory - the static and dynamic scenarios

Abstract:

We obtain quantitative estimates for the scalar order parameters of liquid crystal configurations in three-dimensional geometries, within the Landau-de Gennes framework. We consider both static equilibria and non-equilibrium dynamics and we include external fields and surface anchoring energies into our formulation. Using maximum principle-type arguments, we obtain explicit bounds for the corresponding scalar order parameters in both static and dynamic situations; these bounds are given in te...

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Publication date:
2010-01-01
UUID:
uuid:a90533b3-ac94-44eb-a3b1-24fe084e437f
Local pid:
oai:eprints.maths.ox.ac.uk:1029
Deposit date:
2011-05-20

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