Blowup for the supercritical cubic wave equation – Birgit Schörkhubre (Karlsruhe Institute of Technology (KIT))

This talk is concerned with recent results on singularity formation for the focussing cubic wave equation. We found that in the energy supercritical regime this equation admits an explicit self-similar blowup solution, which is stable along a codimension one manifold. Furthermore, based on numerical experiments, we conjecture that this manifold is a threshold between finite-time blowup and dispersion. This is joint work with Irfan Glogić and Maciej Maliborski (University of Vienna).