5 papers
Asymptotic analysis of the energy for a ferroelectric nematic
Dmitry Golovaty, Peter Sternberg
The variational model for a ferroelectric nematic bears close resemblance to the well-known energy model for micromagnetics. Despite this similarity, the two models operate in fund…
Compensation effects for anisotropic energies of two-dimensional unit vector fields
Lia Bronsard, Dmitry Golovaty, Xavier Lamy +1
We study the highly anisotropic energy of two-dimensional unit vector fields given by \begin{align*} E_ε(u)= \int_Ω (\mathrm{div}\,u)^2 + ε(\mathrm{curl}\,u)^2\, dx\,, \quad u\c…
A Ginzburg-Landau problem on a circular cone
Christian Cofoid, Dmitry Golovaty, Etienne Sandier +1
We carry out an asymptotic analysis for a Ginzburg-Landau type model for tangent vector fields defined on a cone. The results, in the spirit of Brezis, Bethuel and Helein, establis…
Towards an asymptotic analysis of the anisotropic Ginzburg-Landau model
Dmitry Golovaty, Petru Mironescu, Peter Sternberg
We develop a set of tools for the asymptotic analysis of minimizers of the anisotropic Ginzburg-Landau functional among the admissible competitors with Dirichlet boundary datum of…
On sections of complex line bundles over surfaces minimizing a Ginzburg-Landau energy
Dmitry Golovaty, Alberto Montero, Etienne Sandier +1
In this work we extend some of the results of Ignat and Jerrard for Ginzburg-Landau vortices of tangent vector fields on two-dimensional Riemannian manifolds to the setting of comp…