53 citations · 83 across the 6 of their papers we have counts for
6 papers
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 variational method for generating -cross fields using higher-order -tensors
Dmitry Golovaty, Jose Alberto Montero, Daniel Spirn
An -cross field is a locally-defined orthogonal coordinate system invariant with respect to the cubic symmetry group. Cross fields are finding wide-spread use in mesh generation…
Dimension reduction for the Landau-de Gennes model on curved nematic thin films
Dmitry Golovaty, Alberto Montero, Peter Sternberg
We use the method of -convergence to study the behavior of the Landau-de Gennes model for a nematic liquid crystalline film attached to a general fixed surface in the limit of v…
Dimension reduction for the Landau-de Gennes model in planar nematic thin films
Dmitry Golovaty, José Alberto Montero, Peter Sternberg
We use the method of -convergence to study the behavior of the Landau-de Gennes model for a nematic liquid crystalline film in the limit of vanishing thickness. In this asymptot…
On Minimizers of the Landau-de Gennes Energy Functional on Planar Domains
Dmitry Golovaty, Alberto Montero
We study tensor-valued minimizers of the Landau-de Gennes energy functional on a simply-connected planar domain with non-contractible boundary data. Here the tensorial field re…