6 papers
A finite element approach for minimizing line and surface energies arising in the study of singularities in liquid crystals
Dominik Stantejsky
Motivated by a problem originating in the study of defect structures in nematic liquid crystals, we describe and study a numerical algorithm for the resolution of a Plateau-like pr…
A priori estimates and compactness for anisotropic Ginzburg-Landau minimizers with tangential anchoring
Lia Bronsard, Andrew Colinet, Dominik Stantejsky +1
We consider minimizers of the Ginzburg-Landau energy with quadratic divergence or curl penalization on a simply-connected two-dimensional domain . On the boundar…
Interaction energies in nematic liquid crystal suspensions
Lia Bronsard, Xavier Lamy, Dominik Stantejsky +1
We establish, as , an asymptotic expansion for the minimal Dirichlet energy of -valued maps outside a finite number of three-dimensional particles of size …
Minimizing Harmonic Maps on the Unit Ball with Tangential Anchoring
Lia Bronsard, Andrew Colinet, Dominik Stantejsky
Since the seminal work of Schoen-Uhlenbeck, many authors have studied properties of harmonic maps satisfying Dirichlet boundary conditions. In this article, we instead investigate…
On a Divergence Penalized Landau-de Gennes Model
Lia Bronsard, Jinqi Chen, Léa Mazzouza +4
We give a brief introduction to a divergence penalized Landau-de Gennes functional as a toy model for the study of nematic liquid crystal with colloid inclusion, in the case of une…
Asymptotics for Minimizers of Landau-de Gennes with a Magnetic Field and Tangential Anchoring
Lia Bronsard, Dean Louizos, Dominik Stantejsky
In this article we prove existence of minimizers of the Landau-de Gennes energy for liquid crystals with homogeneous external magnetic field and strong uniaxial planar anchoring. N…