Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills problems
Abstract
We exhibit stable finite time blow up regimes for the energy critical co-rotational Wave Map with the S2 target in all homotopy classes and for the critical equivariant SO(4) Yang-Mills problem. We derive sharp asymptotics on the dynamics at the blow up time and prove quantization of the energy focused at the singularity.
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