Generic self-similar blowup for equivariant wave maps and Yang-Mills fields in 
higher dimensions

Biernat, Paweł; Bizoń, Piotr

doi:10.1007/s00220-015-2404-y

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Generic self-similar blowup for equivariant wave maps and Yang-Mills fields in higher dimensions

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Bizoń, Piotr
AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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1409.8214.pdf
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CMP338_1443.pdf
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Citation

Biernat, P., & Bizoń, P. (2015). Generic self-similar blowup for equivariant wave maps and Yang-Mills fields in higher dimensions. Communications in Mathematical Physics, 338: 1443. doi:10.1007/s00220-015-2404-y.

Cite as: https://hdl.handle.net/11858/00-001M-0000-0028-1D75-0

Abstract

We consider equivariant wave maps from the $(d+1)$--dimensional Minkowski spacetime into the $d$-sphere for $d\geq 4$. 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 $d\geq 6$.