8 papers · 1 filter
Hölder regularity and convergence for a non-local model of nematic liquid crystals in the large-domain limit
Giacomo Canevari, Jamie M. Taylor
We consider a non-local free energy functional, modelling a competition between entropy and pairwise interactions reminiscent of the second order virial expansion, with application…
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…
The Well Order Reconstruction Solution for Three-Dimensional Wells, in the Landau-de Gennes theory
Giacomo Canevari, Joseph Harris, Apala Majumdar +1
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 , and…
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…
Improved partial regularity for manifold-constrained minimisers of subquadratic energies
Giacomo Canevari, Giandomenico Orlandi
We consider minimising -harmonic maps from three-dimensional domains to the real projective plane, for . These maps arise as least-energy configurations in variational mo…
Minimizers of a Landau-de Gennes Energy with a Subquadratic Elastic Energy
Giacomo Canevari, Apala Majumdar, Bianca Stroffolini
We study a modified Landau-de Gennes model for nematic liquid crystals, where the elastic term is assumed to be of subquadratic growth in the gradient. We analyze the behaviour of…