Long-time existence for Yang-Mills flow

Abstract

We establish that finite-time singularities do not occur in four-dimensional Yang-Mills flow, confirming the conjecture of Schlatter, Struwe, and Tahvildar-Zadeh. The proof relies on a weighted energy identity and sharp decay estimates in the neck region.

Final version accepted in Inventiones. 56pp

Cited by in corpus (5)

• Stochastic quantisation of Yang-Mills-Higgs in 3D
• Nonlinear stability of homothetically shrinking Yang-Mills solitons in the equivariant case
• A state space for 3D Euclidean Yang-Mills theories
• Strict type-II blowup in harmonic map flow
• Gradient Flows of Higher Order Yang-Mills-Higgs Functionals