53 citations · 189 across the 31 of their papers we have counts for
17 papers · 1 filter
Interaction energies in paranematic colloids
Dmitry Golovaty, Jamie Taylor, Raghavendra Venkatraman +1
We consider a system of colloidal particles embedded in a paranematic -- an isotropic phase of a nematogenic medium above the temperature of the nematic-to-isotropic transition. In…
Tetrahedral frame fields via constrained third order symmetric tensors
Dmitry Golovaty, Matthias Kurzke, Jose Alberto Montero +1
Tetrahedral frame fields have applications to certain classes of nematic liquid crystals and frustrated media. We consider the problem of constructing a tetrahedral frame field in…
Refined Asymptotics for Landau-de Gennes Minimizers on Planar Domains
Dmitry Golovaty, Jose Alberto Montero
In our previous work,, we studied asymptotic behavior of minimizers of the Landau-de Gennes energy functional on planar domains as the nematic correlation length converges to zero.…
A One-Dimensional Variational Problem for Cholesteric Liquid Crystals with Disparate Elastic Constants
Dmitry Golovaty, Michael Novack, Peter Sternberg
We consider a one-dimensional variational problem arising in connection with a model for cholesteric liquid crystals. The principal feature of our study is the assumption that the…
Saturn ring defect around a spherical particle immersed in nematic liquid crystal
Stan Alama, Lia Bronsard, Dmitry Golovaty +1
We consider a nematic liquid crystal occupying the three-dimensional domain in the exterior of a spherical colloid particle. The nematic is subject to Dirichlet boundary conditions…
A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals
Dmitry Golovaty, Itai Shafrir
We study the asymptotic behavior, when , of the minimizers for the energy \begin{equation*} E_\varepsilon(u)=\int_Ω\Big(|\nabla…