Threshold for blowup for equivariant wave maps in higher dimensions
  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. 
Pawe{\l} Biernat, Piotr Bizo\'n, Maciej Maliborski
math.AP