2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/65223This paper studies rapidly forming singularities in the Yang-Mills flow. It is shown that a sequence of blow-ups near the singular point converges, modulo the gauge group, to a homothetically shrinking soliton with non-zero curvature. The proof uses Hamilton's monotonicity formula. Examples of homothetically shrinking solitons are given in the case of trivial bundles over R^n for dimensions 5 through 9.13 pages. Final version, to appear in Calculus of VariationsDifferential Geometrytext