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Thesis

Mathematical models of liquid crystals and related materials

Abstract:

In the broadest sense, the focus of this thesis concerns the role of entropy in macroscopic systems related to liquid crystals in equilibrium. We be- gin by defining a broad generalisation of the Ball-Majumdar potential, applicable to a wide variety of order parameter models relevant to liquid crystals. First we provide a geometric characterisation of the set of ad- missible order parameters for general systems. We demonstrate the key properties of convexity, regularity, and blow up ...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

Contributors

Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
UUID:
uuid:37bea5e7-889d-4eb1-986d-52f869d7f4b8
Deposit date:
2017-01-25

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