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

When:
December 10, 2019 @ 4:30 pm – 5:00 pm
2019-12-10T16:30:00+00:00
2019-12-10T17:00:00+00:00
Where:
Seminar Room 1
Newton Institute
Contact:

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).