Abstract
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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Communicated by W. Schlag
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Bizoń, P., Biernat, P. Generic Self-Similar Blowup for Equivariant Wave Maps and Yang–Mills Fields in Higher Dimensions. Commun. Math. Phys. 338, 1443–1450 (2015). https://doi.org/10.1007/s00220-015-2404-y
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DOI: https://doi.org/10.1007/s00220-015-2404-y