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  Threshold for blowup for equivariant wave maps in higher dimensions

Biernat, P., Bizon, P., & Maliborski, M. (2017). Threshold for blowup for equivariant wave maps in higher dimensions. Nonlinearity, 30(4), 1513-1522. doi:https://doi.org/10.1088/1361-6544/aa61ab.

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Item Permalink: https://hdl.handle.net/11858/00-001M-0000-002B-4F99-5 Version Permalink: https://hdl.handle.net/11858/00-001M-0000-002E-2FEB-1
Genre: Journal Article

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 Creators:
Biernat, Paweł, Author
Bizon, Piotr, Author
Maliborski, Maciej1, Author           
Affiliations:
1Geometric Analysis and Gravitation, AEI-Golm, MPI for Gravitational Physics, Max Planck Society, ou_24012              

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Free keywords: Mathematics, Analysis of PDEs, math.AP
 Abstract: We consider equivariant wave maps from $\mathbb{R}^{d+1}$ to $\mathbb{S}^d$ in supercritical dimensions $3\leq d\leq 6$. Using mixed numerical and analytic methods, we show that the threshold of blowup is given by the codimension-one stable manifold of a self-similar solution with one instability.

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 Dates: 2016-08-272017
 Publication Status: Issued
 Pages: 11 pages, 3 figures
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 Table of Contents: -
 Rev. Type: -
 Identifiers: arXiv: 1608.07707
URI: http://arxiv.org/abs/1608.07707
DOI: https://doi.org/10.1088/1361-6544/aa61ab
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Title: Nonlinearity
Source Genre: Journal
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Publ. Info: Bristol : IOP Pub.
Pages: - Volume / Issue: 30 (4) Sequence Number: - Start / End Page: 1513 - 1522 Identifier: ISSN: 0951-7715
CoNE: https://pure.mpg.de/cone/journals/resource/954925574969