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Now showing items 1-8 of 8

#### 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 ...

#### 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 ...

#### 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 ...

#### 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 ...

#### 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 ...

#### 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 ...

#### 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 ...