Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10224109 | Annales de l'Institut Henri Poincare (C) Non Linear Analysis | 2018 | 32 Pages |
Abstract
We study singularity structure of Yang-Mills flow in dimensions nâ¥4. First we obtain a description of the singular set in terms of concentration for a localized entropy quantity, which leads to an estimate of its Hausdorff dimension. We develop a theory of tangent measures for the flow, which leads to a stratification of the singular set. By a refined blowup analysis we obtain Yang-Mills connections or solitons as blowup limits at any point in the singular set.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Casey Kelleher, Jeffrey Streets,