# Analysis Seminar

## A Brakke type regularity for the Allen-Cahn flow

Shengwen Wang, Queen Mary University of London

Friday, November 13th, 2020
1:00 PM - 2:00 PM
Zoom ID 505 912 2491

We will talk about an analogue of the Brakke’s local regularity theorem for the $\epsilon$ parabolic Allen-Cahn equation. In particular, we show uniform $C_{2,\alpha}$ regularity for the transition layers converging to smooth mean curvature flows as $\epsilon\to 0$ under the almost unit-density assumption. This can be viewed as a diffused version of the Brakke regularity for the limit mean curvature flow. This talk is based on joint work with Huy Nguyen.

Event contact: dan dot geba at rochester dot edu