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arXiv · 1608.07707

Threshold for blowup for equivariant wave maps in higher dimensions

Paweł Biernat·Piotr Bizoń·Maciej Maliborski
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Abstract

We consider equivariant wave maps from $\mathbb{R}^{d+1}$ to $\mathbb{S}^d$ in supercritical dimensions $3\leq d\leq 6$. Using mixed numerical and analytic methods, we show that the threshold of blowup is given by the codimension-one stable manifold of a self-similar solution with one instability.

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Paweł Biernat, Piotr Bizoń, Maciej Maliborski. 2016-08-27. Threshold for blowup for equivariant wave maps in higher dimensions. https://doi.org/10.1088/1361-6544/aa61ab

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