SMS scnews item created by Haotian Wu at Fri 10 Feb 2017 1321
Type: Seminar
Distribution: World
Expiry: 7 Apr 2017
Calendar1: 15 Feb 2017 1200-1300
CalLoc1: Carslaw 535A
CalTitle1: Geometry & Topology Seminar: Min-Chun Hong -- Some results on the Yang-Mills flow and its application
Auth: haotianw@14-202-233-61.static.tpgi.com.au (hawu2800) in SMS-WASM

# Some results on the Yang-Mills flow and its application

### Min-Chun Hong (Queensland)

Wednesday 15 February 12:00–13:00 in Carslaw 535A.

Abstract: At first, I will outline some old and new results on the Yang-Mills flow. Then we establish a parabolic gauge fixing theorem and used it to present a new proof of the existence of the weak solution of the Yang-Mills flow over a four dimensional manifold with initial value in $H^1$. Finally, we improve a key lemma of Uhlenbeck and prove the uniqueness of the weak solution of the Yang-Mills flow on a four dimensional manifold.