The Stability of Magnetic Vortices
| dc.creator | Gustafson, S. | |
| dc.creator | Sigal, I. M. | |
| dc.date | 1999-04-28 | |
| dc.date.accessioned | 2026-07-07T05:28:51Z | |
| dc.date.available | 2026-07-07T05:28:51Z | |
| dc.description | We study the linearized stability of n-vortex solutions of the magnetic Ginzburg-Landau (or Abelian-Higgs) equations. We prove that the fundamental vortices (n=1,-1) are stable for all values of the coupling constant, k, and we prove that the higher-degree vortices (|n| > 1) are stable for k < 1 and unstable for k > 1. This resolves a long-standing conjecture. | |
| dc.description | 28 pages, Latex | |
| dc.identifier | https://arxiv.org/abs/math/9904158 | |
| dc.identifier | http://arxiv.org/abs/math/9904158 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/78418 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35J60 (Primary), 82D55 (Secondary) | |
| dc.title | The Stability of Magnetic Vortices | |
| dc.type | text |