Wednesday, May 28, 2025 - 16:15 in B2-238 + Zoom
Stable blowup for supercritical wave maps into perturbed spheres
A talk in the Oberseminar Analysis series by
Alexander Wittenstein
| Abstract: |
This talk concerns supercritical wave maps from Minkowski space into
slightly perturbed versions of the perfectly round d-sphere. In a work
by Shatah and Tahvildar-Zadeh the existence of self-similar blowup
solutions to the wave maps equation has already been established in this
setting. However, since these solutions were obtained via variational
methods proving any form of stability for these solutions has remained
out of reach.
Based on a joint work with R. Donninger and B. Schörkhuber I will
present a construction of self-similar blowup solutions in the above
described setting which are somehow close to the ground-state
self-similar solution for the unperturbed sphere. This proximity allowed
us to rigorously prove, using perturbative methods, their asymptotic
nonlinear stability.
Within the CRC this talk is associated to the project(s): A8 |
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