26 citations · 35 across the 4 of their papers we have counts for
4 papers
Discontinuous order parameters in liquid crystal theories
J. M. Ball, S. J. Bedford
The paper is concerned with various issues surrounding the mathematical description of defects in models of liquid crystals, drawing on experience from solid mechanics. The roles p…
Global minimisers of cholesteric liquid crystal systems
S. J. Bedford
In this paper we examine the modelling and minimisation of cholesteric liquid crystals systems within the Oseen-Frank theory. We focus on a cuboid domain with the frustrated bounda…
Function spaces for liquid crystals
S. J. Bedford
We consider the relationship between three continuum liquid crystal theories: Oseen-Frank, Ericksen and Landau-de Gennes. It is known that the function space is an important part o…
Analysis of local minima for constrained minimization problems
S. J. Bedford
We consider vectorial problems in the calculus of variations with an additional pointwise constraint. Our admissible mappings satisfy…