3 papers
math.AP2025
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…
math.AP2024
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…
math.AP2024
Allen-Cahn Solutions with Triple Junction Structure at Infinity
Ãtienne Sandier, Peter Sternberg
We construct an entire solution to the elliptic system \[ ÎU=\nabla_uW(U), \] where is a `triple-well' potential. Th…