A Ginzburg-Landau problem on a circular cone
Analysis of PDEs
2025-04-23 v1
Abstract
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, establish the degree and asymptotic location of vortices, one of which must be situated at the tip of the cone.
Keywords
Cite
@article{arxiv.2504.15935,
title = {A Ginzburg-Landau problem on a circular cone},
author = {Christian Cofoid and Dmitry Golovaty and Etienne Sandier and Peter Sternberg},
journal= {arXiv preprint arXiv:2504.15935},
year = {2025}
}
Comments
22 pages, 3 figures