D. Golovaty

activity

20062023

most citedOn Minimizers of the Landau-de Gennes Energy Functional on Planar Domains

53 citations · 189 across the 31 of their papers we have counts for

collaborators

Showing 2019 · math.APShow all

3 papers · 2 filters

math.AP2019

A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals

Dmitry Golovaty, Itai Shafrir

We study the asymptotic behavior, when $ε \to 0$ , of the minimizers ${u_{ε}}_{ε > 0}$ for the energy \begin{equation*} E_\varepsilon(u)=\int_Ω\Big(|\nabla…

math.AP2019

A variational method for generating $n$ -cross fields using higher-order $Q$ -tensors

Dmitry Golovaty, Jose Alberto Montero, Daniel Spirn

An $n$ -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…

math.AP2019

Thin Film Liquid Crystals with Oblique Anchoring and Boojums

Stan Alama, Lia Bronsard, Dmitry Golovaty

We study a two-dimensional variational problem which arises as a thin-film limit of the Landau-de Gennes energy of nematic liquid crystals. We impose an oblique angle condition for…

A variational singular perturbation problem motivated by Ericksen's model for nematic liquid crystals

A variational method for generating n-cross fields using higher-order Q-tensors

Thin Film Liquid Crystals with Oblique Anchoring and Boojums

A variational method for generating $n$ -cross fields using higher-order $Q$ -tensors