Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills problems. (arXiv:0911.0692v1 [math.AP])

We exhibit stable finite time blow up regimes for the energy criticalco-rotational Wave Map with the S^2 target in all homotopy classes and for thecritical equivariant SO(4) Yang-Mills problem. We derive sharp asymptotics onthe dynamics at the blow up time » Full text »