Generic self-similar blowup for equivariant wave maps and Yang-Mills   fields in higher dimensions
  We consider equivariant wave maps from the $(d+1)$--dimensional Minkowski spacetime into the $d$-sphere for $d\geq 4$. We find a new explicit stable self-similar solution and give numerical evidence that it plays the role of a universal attractor for generic blowup. An analogous result is obtained for the $SO(d)$ symmetric Yang-Mills field for $d\geq 6$. 
Pawe{\l} Biernat, Piotr Bizo\'n
math.AP