Stable blowup for supercritical wave maps into perturbed spheres
Abstract
We consider wave maps from $(1+d)$-dimensional Minkowski space, $d\geq3$, 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.
Fields of Study & Subjects
Advanced Mathematical Physics Problems
Stability and Controllability of Differential Equations
Navier-Stokes equation solutions
Publication details
- Journal / source
- Journal of Functional Analysis
- Volume
- 291
- Issue
- 9
- Pages
- 111601–111601
- Publication date
- 15 June 2026
- Language
- EN