A Ginzburg-Landau problem on a circular cone
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arXiv
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| Auteurs principaux: | , , , |
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| Format: | Preprint |
| Publié: |
2025
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| _version_ | 1866913803264851968 |
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| author | Cofoid, Christian Golovaty, Dmitry Sandier, Etienne Sternberg, Peter |
| author_facet | Cofoid, Christian Golovaty, Dmitry Sandier, Etienne Sternberg, Peter |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_15935 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | A Ginzburg-Landau problem on a circular cone Cofoid, Christian Golovaty, Dmitry Sandier, Etienne Sternberg, Peter Analysis of PDEs 49S05, 35Q56 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. |
| title | A Ginzburg-Landau problem on a circular cone |
| topic | Analysis of PDEs 49S05, 35Q56 |
| url | https://arxiv.org/abs/2504.15935 |