CINECA IRIS Institutional Research Information System
IRIS è la soluzione IT che facilita la raccolta e la gestione dei dati relativi alle attività e ai prodotti della ricerca. Fornisce a ricercatori, amministratori e valutatori gli strumenti per monitorare i risultati della ricerca, aumentarne la visibilità e allocare in modo efficace le risorse disponibili.
EnglishWe consider vortices of topological-type for a class of selfdual gauge models, with periodic boundary conditions and as the ratio of the vortex core size to the separation distance between vortex points (the scaling parameter) tends to zero. We use a gluing technique (shadowing lemma) for solutions to the corresponding semilinear elliptic equation on the plane, where the vortex points are periodically arranged. This approach is particularly convenient and natural for the study of the asymptotics as the scaling parameter tends to zero. In particular, we prove a factorization ansatz for multivortex solutions, up to an error which is exponentially small.
| Titolo: | Existence and asymptotics for self-dual periodic vortices of topological-type | |
| Autori: | ||
| Data di pubblicazione: | 2005 | |
| Abstract: | We consider vortices of topological-type for a class of selfdual gauge models, with periodic boundary conditions and as the ratio of the vortex core size to the separation distance between vortex points (the scaling parameter) tends to zero. We use a gluing technique (shadowing lemma) for solutions to the corresponding semilinear elliptic equation on the plane, where the vortex points are periodically arranged. This approach is particularly convenient and natural for the study of the asymptotics as the scaling parameter tends to zero. In particular, we prove a factorization ansatz for multivortex solutions, up to an error which is exponentially small. | |
| Handle: | http://hdl.handle.net/11697/33082 | |
| Appare nelle tipologie: | 4.1 Contributo in Atti di convegno |
File in questo prodotto:
Copyright © 2021