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Some problems on the dynamics of nematic liquid crystals

Abstract:

In this thesis, we consider two problems in the Q-tensor theory of nematic liquid crystals. The first concerns eigenvalue constraints on the Q-tensor order parameter. In particular, by employing a singular potential constructed by Ball and Majumdar, we consider the existence, regularity and "strict physicality" of weak solutions to the Beris-Edwards equations of nemato-hydrodynamics. In the second part of the thesis, we consider a gradient flow of the well-studied Landau-de Gennes energy. ...

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Institution:
University of Oxford
Research group:
Oxford Centre for Nonlinear Partial Differential Equations (OxPDE)
Oxford college:
St Edmund Hall
Department:
Mathematical,Physical & Life Sciences Division - Mathematical Institute

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Role:
Supervisor
Role:
Supervisor
Publication date:
2013
Type of award:
DPhil
Level of award:
Doctoral
URN:
uuid:668f7a3b-b9f0-4126-aceb-d7bbe4230f08
Local pid:
ora:11463

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