computer-assisted proof 1harmonic map heat flow 1self-similar solutions 1singularity formation 1stability analysis 1
From the 1 of 3 linked papers with an AI index.
3 papers
math.AP2026
Existence of a stable shrinker for the corotational harmonic map heat flow in higher space dimensions
Johannes Angerer, Sarah Kistner, Birgit Schörkhuber
The paper proves the existence of a monotonically increasing self‑similar shrinker for the corotational harmonic map heat flow in dimensions 4–6 and shows it is asymptotically stab…
math.AP2025
Self-similar blowup for the cubic Schrödinger equation
Roland Donninger, Birgit Schörkhuber
We give a rigorous proof for the existence of a finite-energy, self-similar solution to the focusing cubic Schrödinger equation in three spatial dimensions. The proof is computer-…
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…