212 citations · 844 across the 50 of their papers we have counts for
6 papers · 2 filters
Polydispersity and surface energy strength in nematic colloids
Giacomo Canevari, Arghir Zarnescu
We consider a Landau-de Gennes model for a polydisperse, inhomogeneous suspension of colloidal inclusions in a nematic host, in the dilute regime. We study the homogenised limit an…
Nonlinear electrokinetics in nematic electrolytes
E. Feireisl, E. Rocca, G. Schimperna +1
In this article we study a system of nonlinear PDEs modelling the electrokinetics of a nematic electrolyte material consisting of various ions species contained in a nematic liquid…
Symmetry and multiplicity of solutions in a two-dimensional Landau-de Gennes model for liquid crystals
Radu Ignat, Luc Nguyen, Valeriy Slastikov +1
We consider a variational two-dimensional Landau-de Gennes model in the theory of nematic liquid crystals in a disk of radius . We prove that under a symmetric boundary conditio…
Landau-de Gennes corrections to the Oseen-Frank theory of nematic liquid crystals
Giovanni Di Fratta, Jonathan Robbins, Valeriy Slastikov +1
We study the asymptotic behavior of the minimisers of the Landau-de Gennes model for nematic liquid crystals in a two-dimensional domain in the regime of small elastic constant. At…
On a sharp Poincaré-type inequality on the 2-sphere and its application in micromagnetics
Giovanni Di Fratta, Valeriy Slastikov, Arghir Zarnescu
The main aim of this note is to prove a sharp Poincaré-type inequality for vector-valued functions on , that naturally emerges in the context of micromagnetics of sph…
Design of effective bulk potentials for nematic liquid crystals via colloidal homogenisation
Giacomo Canevari, Arghir Zarnescu
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, an…