Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills problems

Details Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills problems Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills problems

2009-11-03

arxiv.org/abs/0911.0692v1

Mathematics

Analysis of PDEs

Scientific paper

We exhibit stable finite time blow up regimes for the energy critical
co-rotational Wave Map with the S^2 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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