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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Funding
Bibliographic Details
- Type of award:
- DPhil
- Level of award:
- Doctoral
- Awarding institution:
- University of Oxford
Item Description
- UUID:
-
uuid:37bea5e7-889d-4eb1-986d-52f869d7f4b8
- Deposit date:
- 2017-01-25
Terms of use
- Copyright holder:
- Taylor, J
- Copyright date:
- 2017
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