2 papers
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 Schörkhuber, Alexander Wittenstein
We consider wave maps from -dimensional Minkowski space, , into rotationally symmetric manifolds which arise from small perturbations of the sphere . We…