53 citations · 189 across the 31 of their papers we have counts for
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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…
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…
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 Novel Landau-de Gennes Model with Quartic Elastic Terms
Dmitry Golovaty, Michael Novack, Peter Sternberg
Within the framework of the generalized Landau-de Gennes theory, we identify a -tensor-based energy that reduces to the four-constant Oseen-Frank energy when it is considered ov…
Phase Transitions in Nematics: Textures with Tactoids and Disclinations
Dmitry Golovaty, Young-Ki Kim, Oleg D. Lavrentovich +2
We demonstrate that a first order isotropic-to-nematic phase transition in liquid crystals can be succesfully modeled within the generalized Landau-de Gennes theory by selecting an…