13 citations · 16 across the 12 of their papers we have counts for
12 papers
Shape optimisation of the first solenoidal Maxwell eigenvalue
Antoine Henrot, Idriss Mazari-Fouquer, Yannick Privat +1
We study the minimisation of the first solenoidal Maxwell eigenvalue in perfectly conducting cavities through the scale-invariant functional $J_{\mathrm{Per…
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…
A priori bound for Ginzburg-Landau energy minimizers with divergence penalization
Lia Bronsard, Andrew Colinet, Dominik Stantejsky
We consider minimizers of the Ginzburg-Landau energy with quadratic divergence penalization on a simply-connected two-dimensional domain . On the boundary, stron…
Spherical Particle in Nematic Liquid Crystal with a Magnetic Field and Planar Anchoring
Lia Bronsard, Dean Louizos, Dominik Stantejsky
We study minimizers of the Landau-de Gennes energy in with external magnetic field in the large particle limit. We impose strong tangential anchoring…
Convergence to line and surface energies in nematic liquid crystal colloids with external magnetic field
François Alouges, Antonin Chambolle, Dominik Stantejsky
We use the Landau-de Gennes energy to describe a particle immersed into nematic liquid crystals with a constant applied magnetic field. We derive a limit energy in a regime where b…
Asymptotic shape of isolated magnetic domains
Hans Knüpfer, Dominik Stantejsky
We investigate the energy of an isolated magnetized domain for . In non-dimensionalized variables, the energy given by $$ \mathcal{E}(Ω) \ = \ \int_{…
The saturn ring effect in nematic liquid crystals with external field: effective energy and hysteresis
François Alouges, Antonin Chambolle, Dominik Stantejsky
In this work we consider the Landau-de Gennes model for liquid crystals with an external electromagnetic field to model the occurrence of the saturn ring effect under the assumptio…