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arXiv · 1701.05082

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

Athanasios Chatzikaleas·Roland Donninger·Irfan Glogić
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Abstract

We consider co-rotational wave maps from the $(1+d)$-dimensional Minkowski space into the $d$-sphere for $d\geq 3$ 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.

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Athanasios Chatzikaleas, Roland Donninger, Irfan Glogić. 2017-06-23. On blowup of co-rotational wave maps in odd space dimensions. https://arxiv.org/abs/1701.05082

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