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

Autor:	Raphael, P., Rodnianski, I.
Rok vydání:	2009
Předmět:	Mathematics - Analysis of PDEs Mathematical Physics
Druh dokumentu:	Working Paper
Popis:	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.
Databáze:	arXiv
Externí odkaz:	http://arxiv.org/abs/0911.0692 Zobrazit plný text záznamu View this record from Arxiv