Supercritical wave maps into spheres exhibit blowup via explicit self-similar solutions.
I will present a recent stability result of the blowup profile which is valid in a large region of spacetime up to the Cauchy horizon of the singularity. This is joint work with P. Biernat (Bonn) and B. Schörkhuber (Vienna).
Roland Donninger (Vienna): A globally stable blowup profile for supercritical wave maps
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