Smooth self-similar blow-up profiles for the wave map equation
| dc.creator | Germain, Pierre | |
| dc.date | 2008-06-25 | |
| dc.date.accessioned | 2026-07-07T09:46:41Z | |
| dc.date.available | 2026-07-07T09:46:41Z | |
| dc.description | Consider the equivariant wave map equation from Minkowski space to a rotationnally symmetric manifold which has an equator (example: the sphere). In dimension 3, this article gives a necessary and sufficient condition for the existence of a smooth self-similar blow up profile. More generally, we study the relation between 1. the minimizing properties of the equator map for the (elliptic) Dirichlet energy and 2. the existence of a smooth blow-up profile for the (hyperbolic) wave map problem. Several applications of this approach are described. | |
| dc.identifier | https://arxiv.org/abs/0806.4148 | |
| dc.identifier | http://arxiv.org/abs/0806.4148 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/163611 | |
| dc.subject | Analysis of PDEs | |
| dc.subject | Differential Geometry | |
| dc.subject | 35L70 ; 35Q80 ; 53C44 ; 58E20 | |
| dc.title | Smooth self-similar blow-up profiles for the wave map equation | |
| dc.type | text |