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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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Role:
Supervisor
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Grant:
291053
Funding agency for:
Project
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford

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