Stable blowup for supercritical wave maps into perturbed spheres
Abstract:
We consider wave maps from (1+d)-dimensional Minkowski space, d $\geq$ 3, 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) |
| Publikationstyp | Zeitschriftenaufsatz |
| Publikationsmonat/-jahr | 11.2026 |
| Sprache | Englisch |
| Identifikator | ISSN: 0022-1236 KITopen-ID: 1000194685 |
| Erschienen in | Journal of Functional Analysis |
| Verlag | Elsevier |
| Band | 291 |
| Heft | 9 |
| Seiten | Art.Nr: 111601 |
| Vorab online veröffentlicht am | 15.06.2026 |
| Schlagwörter | Singularity formation; Wave maps; Stability; Self-similar |
| Nachgewiesen in | Scopus OpenAlex |
| Relationen in KITopen |