Higher order Yang-Mills flow
Differential Geometry
2019-01-17 v1 Analysis of PDEs
Abstract
We define a family of functionals generalizing the Yang-Mills functional. We study the corresponding gradient flows and prove long-time existence and convergence results for subcritical dimensions as well as a bubbling criterion for the critical dimensions. Consequently, we have an alternate proof of the convergence of Yang-Mills flow in dimensions 2 and 3 given by Rade and the bubbling criterion in dimension 4 of Struwe in the case where the initial flow data is smooth.
Cite
@article{arxiv.1505.07092,
title = {Higher order Yang-Mills flow},
author = {Casey Lynn Kelleher},
journal= {arXiv preprint arXiv:1505.07092},
year = {2019}
}