Alexander Wittenstein

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math.AP2026

Stable blowup for the harmonic map heat flow into perturbed spheres

Alexander Wittenstein

We prove stable self-similar blowup for the harmonic map heat flow in dimensions 3 to 6 for target manifolds which are slightly perturbed versions of the round sphere. Starting fro…

math.AP2025

Stable blowup for supercritical wave maps into perturbed spheres

Roland Donninger, Birgit SchÃ¶rkhuber, Alexander Wittenstein

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 $S^{d}$ . We…