Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills problems
Analysis of PDEs
2009-11-05 v1 Mathematical Physics
math.MP
Abstract
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.
Cite
@article{arxiv.0911.0692,
title = {Stable blow up dynamics for the critical co-rotational Wave Maps and equivariant Yang-Mills problems},
author = {P. Raphael and I. Rodnianski},
journal= {arXiv preprint arXiv:0911.0692},
year = {2009}
}