Blowup stability of wave maps without symmetry

Roland Donninger; Frederick Moscatelli

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arXiv · 2601.19516

Blowup stability of wave maps without symmetry

Roland Donninger·Frederick Moscatelli

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Abstract

We study wave maps from $(1+d)$-dimensional Minkowski space into the $d$-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.

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Roland Donninger, Frederick Moscatelli. 2026-01-27. Blowup stability of wave maps without symmetry. https://arxiv.org/abs/2601.19516

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