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

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.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-0028-1D75-0 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-0028-1D76-E
Genre: Journal Article

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 Creators:
Biernat, Paweł, Author
Bizoń, Piotr1, Author
Affiliations:
1AEI-Golm, MPI for Gravitational Physics, Max Planck Society, Golm, DE, ou_24008              

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Free keywords: Mathematics, Analysis of PDEs, math.AP
 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 $d\geq 6$.

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 Dates: 2014-09-292015
 Publication Status: Issued
 Pages: 9 pages, 2 figures
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1409.8214
DOI: 10.1007/s00220-015-2404-y
URI: http://arxiv.org/abs/1409.8214
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Title: Communications in Mathematical Physics
Source Genre: Journal
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Publ. Info: Heidelberg : Springer-Verlag Heidelberg
Pages: - Volume / Issue: 338 Sequence Number: 1443 Start / End Page: - Identifier: ISSN: 0010-3616
CoNE: https://pure.mpg.de/cone/journals/resource/954925392313