Generic Self-Similar Blowup for Equivariant Wave Maps and Yang–Mills Fields in Higher Dimensions

@article{Bizon2015GenericSB,
  title={Generic Self-Similar Blowup for Equivariant Wave Maps and Yang–Mills Fields in Higher Dimensions},
  author={Piotr Bizo'n and Paweł Biernat},
  journal={Communications in Mathematical Physics},
  year={2015},
  volume={338},
  pages={1443-1450}
}
  • Piotr Bizo'n, Paweł Biernat
  • Published 2015
  • Mathematics
  • Communications in Mathematical Physics
  • We consider equivariant wave maps from the (d+1)-dimensional Minkowski spacetime into the d-sphere for d ≥ 4. We find a new explicit stable self-similar solution and give numerical evidence that it plays the role of a universal attractor for generic blowup. An analogous result is obtained for the SO(d) symmetric Yang–Mills field for d ≥ 6. 

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