Author

Min-Chun Hong

2 papers indexed here

We haven’t gathered this author’s papers yet. Follow them and we’ll fetch their work.

Not the right person? Other researchers publish under this name.

Preprint Oct 2026

Uniqueness of the weak solutions of the Yang-Mills flow in four dimensions

We improve a parabolic version of Uhlenbeck's gauge fixing theorem for the Yang-Mills flow. This allows us to prove new existence of weak solutions of the Yang-Mills flow having with better properties than Struwe's weak solution on four manifolds in \cite {St2}. Finally, we apply the new parabolic version of Uhlenbeck'...

Hoi-Chan Chak, Min-Chun Hong · 1 citation

Preprint Oct 2026

The Yang-Mills flow in vector bundles over higher dimensional Riemannian manifolds

We develop a parabolic formulation of the Uhlenbeck gauge fixing theorem and use it to prove the maximal existence of the Yang-Mills flow in vector bundles over compact $n$-dimensional Riemannian manifolds for $n \geq 4$. We apply Moser's iteration technique \cite{Mo1} to give a new proof of the bound of the curvature....

Jared Casey, Hoi-Chan Chak, Min-Chun Hong · 1 citation