Tuesday, May 29, 2018 - 14:45 in V2-210/216
Co-dimension one stable blowup in supercritical wave equations
A talk in the Keine Reihe series by
Birgit Schörkhuber from Karlsruher Institut für Technologie
| Abstract: |
We consider the focussing cubic NLW on $\mathbb{R}^7$. This model is energy supercritical and it is well-known that the stable blowup is described (at least locally) by a trivial self-similar solution referred to as ODE blowup. In this talk, we address blowup solutions with a non-trivial limiting profile. In particular, it will be shown that the equation has a non-trivial self-similar solution which is stable along a codimension one Lipschitz manifold of perturbations of the initial data. This is joint work with Irfan Glogic (Vienna).
|
Back
