On blowup of co-rotational wave maps in odd space dimensions

Abstract

We consider co-rotational wave maps from the $(1+d)$-dimensional Minkowski space into the $d$-sphere for $d\ge 3$ odd. This is an energy-supercritical model which is known to exhibit finite-time blowup via self-similar solutions. Based on a method developed by the second author and Schörkhuber, we prove the asymptotic nonlinear stability of the "ground-state" self-similar solution.

26 pages, typos fixed, will appear in Journal of Differential Equations

References in corpus (2)

• Scattering for radial, semi-linear, super-critical wave equations with bounded critical norm
• Threshold for blowup for equivariant wave maps in higher dimensions