Blowup stability of wave maps without symmetry
Analysis of PDEs
2026-01-28 v1 Mathematical Physics
math.MP
Abstract
We study wave maps from -dimensional Minkowski space into the -sphere without any symmetry assumptions. There exists an explicit self-similar blowup solution and we prove that this solution is asymptotically stable under small perturbations of the initial data. The proof is fully rigorous and requires no numerical input whatsoever.
Cite
@article{arxiv.2601.19516,
title = {Blowup stability of wave maps without symmetry},
author = {Roland Donninger and Frederick Moscatelli},
journal= {arXiv preprint arXiv:2601.19516},
year = {2026}
}