78 citations · 624 across the 43 of their papers we have counts for
4 papers · 2 filters
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…
Variational principles of micromagnetics revisited
Giovanni Di Fratta, Cyrill B. Muratov, Filipp N. Rybakov +1
We revisit the basic variational formulation of the minimization problem associated with the micromagnetic energy, with an emphasis on the treatment of the stray field contribution…
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…