Stable blowup for supercritical wave maps into perturbed spheres
Abstract:
We consider wave maps from $(1+d)$-dimensional Minkowski space, $d\ge3$, into rotationally symmetric manifolds which arise from small perturbations of the sphere $\mathbb{S}^d$ . We prove the existence of co-rotational self-similar finite time blowup solutions with smooth blowup profiles. Furthermore, we show the nonlinear asymptotic stability of these solutions under suitably small co-rotational perturbations on the full space.
| Zugehörige Institution(en) am KIT | Institut für Analysis (IANA) Sonderforschungsbereich 1173 (SFB 1173) |
| Publikationstyp | Forschungsbericht/Preprint |
| Publikationsmonat/-jahr | 03.2025 |
| Sprache | Englisch |
| Identifikator | ISSN: 2365-662X KITopen-ID: 1000181083 |
| Verlag | Karlsruher Institut für Technologie (KIT) |
| Umfang | 42 S. |
| Serie | CRC 1173 Preprint ; 2025/14 |
| Projektinformation | SFB 1173, 258734477 (DFG, DFG KOORD, SFB 1173/3) |
| Externe Relationen | Siehe auch |
| Schlagwörter | wave maps, nonlinear wave equations, geometric PDEs, singularity formation, stable blowup |
| Nachgewiesen in | OpenAlex |