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Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems

Author(s): Raphael, Pierre; Rodnianski, Igor

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Abstract: We exhibit stable finite time blow up regimes for the energy critical co-rotational Wave Map with the S (2) target in all homotopy classes and for the critical equivariant SO(4) Yang-Mills problem. We derive sharp asymptotics on the dynamics at blow up time and prove quantization of the energy focused at the singularity.
Publication Date: Jun-2012
Electronic Publication Date: 10-Jan-2012
Citation: Raphael, Pierre, Rodnianski, Igor. (2012). Stable blow up dynamics for the critical co-rotational wave maps and equivariant Yang-Mills problems. PUBLICATIONS MATHEMATIQUES DE L IHES, 1 - 122. doi:10.1007/s10240-011-0037-z!
DOI: doi:10.1007/s10240-011-0037-z!
ISSN: 0073-8301
EISSN: 1618-1913
Pages: 1 - 122
Type of Material: Journal Article
Journal/Proceeding Title: PUBLICATIONS MATHEMATIQUES DE L IHES
Version: Author's manuscript



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