Now showing items 1-8 of 8

• #### Defects in Nematic Shells: a Gamma-convergence discrete-to-continuum approach ﻿

(2018-07)
In this paper we rigorously investigate the emergence of defects on Nematic Shells with a genus different from one. This phenomenon is related to a non-trivial interplay between the topology of the shell and the alignment ...
• #### Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation ﻿

(2020-02-01)
We consider a Landau–de Gennes model for a suspension of small colloidal inclusions in a nematic host. We impose suitable anchoring conditions at the boundary of the inclusions, and we work in the dilute regime — i.e. the ...
• #### Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit ﻿

(2022-02-01)
We consider a non-local free energy functional, modelling a competition between entropy and pairwise interactions reminiscent of the second order virial expansion, with applications to nematic liquid crystals as a particular ...
• #### Minimizers of a Landau-de Gennes energy with a subquadratic elastic energy ﻿

(2019)
We study a modified Landau-de Gennes model for nematic liq- uid crystals, where the elastic term is assumed to be of subquadratic growth in the gradient. We analyze the behaviour of global minimizers in two- and three-dimensional ...
• #### Order Reconstruction for neatics on squares with isotropic inclusions: A Landau-de Gennes study ﻿

(2019-03-30)
e study a modified Landau-de Gennes model for nematic liq- uid crystals, where the elastic term is assumed to be of subquadratic growth in the gradient. We analyze the behaviour of global minimizers in two- and three-dimensional ...
• #### Topological singular set of vector-valued maps, I: application to manifold-constrained Sobolev and BV spaces ﻿

(2019-03-30)
We introduce an operator $\mathbf{S}$ on vector-valued maps $u$ which has the ability to capture the relevant topological information carried by $u$. In particular, this operator is defined on maps that take values in a ...
• #### The Well Order Reconstruction Solution for Three-Dimensional Wells, in the Landau-de Gennes theory. ﻿

(2019)
We study nematic equilibria on three-dimensional square wells, with emphasis on Well Order Reconstruction Solu- tions (WORS) as a function of the well size, characterized by λ, and the well height denoted by ε. The WORS ...
• #### The Well Order Reconstruction Solution for three-dimensional wells, in the Landau–de Gennes theory ﻿

(2020-03-01)
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, and the well height denoted by 𝜖. The WORS ...