A catalogue of singularities
| dc.creator | Eggers, Jens | |
| dc.creator | Fontelos, Marco A. | |
| dc.date | 2007-11-03 | |
| dc.date.accessioned | 2026-07-07T08:40:32Z | |
| dc.date.available | 2026-07-07T08:40:32Z | |
| dc.description | This paper is an attempt to classify finite-time singularities of PDEs. Most of the problems considered describe free-surface flows, which are easily observed experimentally. We consider problems where the singularity occurs at a point, and where typical scales of the solution shrink to zero as the singularity is approached. Upon a similarity transformation, exact self-similar behaviour is mapped to the fixed point of a {\it infinite dimensional dynamical system} representing the original dynamics. We show that the dynamics close to the fixed point is a useful way classifying the structure of the singularity. Specifically, we consider various types of stable and unstable fixed points, centre-manifold dynamics, limit cycles, and chaotic dynamics. | |
| dc.identifier | https://arxiv.org/abs/0711.0442 | |
| dc.identifier | http://arxiv.org/abs/0711.0442 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/141400 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Dynamical Systems | |
| dc.title | A catalogue of singularities | |
| dc.type | text |