Self-similar blowup from arbitrary data for supercritical wave maps with additive noise
- Authors: Irfan Glogić, Martina Hofmanová, Eliseo Luongo
- Preprint year: 2025
- First public date: 2025-10-29
- arXiv: 2510.25326
Abstract
We consider stochastically perturbed wave maps from $\mathbb{R}^{1+d}$ into $\mathbb{S}^d$, in all energy-supercritical dimensions $d \geq 3$. We show that corotational non-degenerate Gaussian additive noise leads to self-similar blowup with positive probability for any corotational initial data. The same result without noise is conjectured, but unknown, for large data.