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Blowup for the supercritical cubic wave equation

Presented by: 
Birgit Schörkhubre Karlsruhe Institute of Technology (KIT)
Date: 
Tuesday 10th December 2019 - 16:30 to 17:00
Venue: 
INI Seminar Room 1
Abstract: 
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).
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons