On self-similar singular solutions of the complex Ginzburg-Landau equation
| dc.creator | Plechac, Petr | |
| dc.creator | Sverak, Vladimir | |
| dc.date | 2000-07-25 | |
| dc.date | 2000-10-06 | |
| dc.date.accessioned | 2026-07-07T04:36:29Z | |
| dc.date.available | 2026-07-07T04:36:29Z | |
| dc.description | We address the open problem of existence of singularities for the complex Ginzburg-Landau equation. Using a combination of rigourous results and numerical computations, we describe a countable family of self-similar singularities. Our analysis includes the super-critical non-linear Schroedinger equation as a special case, and most of the described singularities are new even in that situation. We also consider the problem of stability of these singularities. | |
| dc.description | 23 pages, 18 figures (eps) | |
| dc.identifier | https://arxiv.org/abs/math/0007149 | |
| dc.identifier | http://arxiv.org/abs/math/0007149 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/59617 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Mathematical Physics | |
| dc.subject | 35Q55 | |
| dc.title | On self-similar singular solutions of the complex Ginzburg-Landau equation | |
| dc.type | text |