Slow Blow Up in the (2+1)-dimensional S^2 Sigma Model
| dc.creator | Linhart, Jean Marie | |
| dc.date | 1999-09-12 | |
| dc.date.accessioned | 2026-07-07T04:32:57Z | |
| dc.date.available | 2026-07-07T04:32:57Z | |
| dc.description | We study singularity formation in spherically symmetric solitons of the charge one sector of the (2+1) dimensional S^2 sigma model, also known as $\IC P^1$ wave maps, in the adiabatic limit. These equations are non-integrable, and so studies are performed numerically on radially symmetric solutions using an iterative finite differencing scheme. Analytic estimates are made by using an effective Lagrangian cutoff outside a ball of fixed radius. We show the geodesic approximation is valid when the cutoff is applied, with the cutoff approaching infinity linearly as the reciprocal of the initial velocity. Additionally a characterization of the shape of a time slice f(r,T) with T fixed is provided. | |
| dc.description | 19 pages, 8 figures | |
| dc.identifier | https://arxiv.org/abs/math-ph/9909014 | |
| dc.identifier | http://arxiv.org/abs/math-ph/9909014 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/58391 | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35L70,35Q51, 35L15 (Primary) 25-04, 35Q60 (Secondary) | |
| dc.title | Slow Blow Up in the (2+1)-dimensional S^2 Sigma Model | |
| dc.type | text |