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Thesis

A bifurcation analysis of models of liquid crystals

Abstract:

In this thesis we provide a deeper insight into the fundamental phase transition between isotropic and nematic states of liquid crystals. In particular, we focus on the problem of classifying all minimising states of the Onsager free-energy functional in three dimensions, a problem which has drawn a lot of attention since 1949. We study the bifurcation diagram of the Onsager free-energy functional for liquid crystals with orientation parameter on the sphere. In particular, we concentrate o...

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Division:
MPLS
Department:
Mathematical Institute
Role:
Author

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Role:
Supervisor
Type of award:
DPhil
Level of award:
Doctoral
Awarding institution:
University of Oxford
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UUID:
uuid:409c7a35-c2e3-42ac-9ddf-0ebb57cff078
Deposit date:
2018-07-05

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