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arXiv · 2504.15935

A Ginzburg-Landau problem on a circular cone

Christian Cofoid·Dmitry Golovaty·Etienne Sandier·Peter Sternberg
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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.

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Christian Cofoid, Dmitry Golovaty, Etienne Sandier, Peter Sternberg. 2025-04-22. A Ginzburg-Landau problem on a circular cone. https://arxiv.org/abs/2504.15935

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