Stable blowup for supercritical wave maps into perturbed spheres
Analysis of PDEs
2025-03-07 v1 Classical Analysis and ODEs
Functional Analysis
Abstract
We consider wave maps from -dimensional Minkowski space, , into rotationally symmetric manifolds which arise from small perturbations of the sphere . 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.
Cite
@article{arxiv.2503.04425,
title = {Stable blowup for supercritical wave maps into perturbed spheres},
author = {Roland Donninger and Birgit Schörkhuber and Alexander Wittenstein},
journal= {arXiv preprint arXiv:2503.04425},
year = {2025}
}