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We investigate the solution landscapes of a simplified Ericksen–Leslie (sEL) vector model
for nematic liquid crystals, confined in a two-dimensional square domain with tangent …

We study reduced nematic equilibria on regular two-dimensional polygons with Dirichlet
tangent boundary conditions in a reduced two-dimensional Landau--de Gennes framework …

We prove the existence of a well order reconstruction solution (WORS)-type Landau--de
Gennes critical point on a square domain with an isotropic concentric square inclusion, with …

We construct an order reconstruction (OR-) type Landau--de Gennes critical point on a
square domain of edge length 2λ, motivated by the well order reconstruction solution …

We consider energy minimizing configurations of a nematic liquid crystal around a spherical
colloid particle, in the context of the Landau–de Gennes model. The nematic is assumed to …

We study the effects of elastic anisotropy on Landau–de Gennes critical points, for nematic
liquid crystals, on a square domain. The elastic anisotropy is captured by a parameter, L 2 …

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 …

We study nematic equilibria on three-dimensional square wells, with emphasis on Well
Order Reconstruction Solutions (WORS) as a function of the well size, characterized by λ …

We study the solution landscape and bifurcation diagrams of nematic liquid crystals confined
on a rectangle, using a reduced two-dimensional Landau–de Gennes framework in terms of …