非线性分析研讨班：A Brakke type regularity theorem for the Allen-Cahn flow

中科院数学与系统科学研究院

数学研究所

学术报告

非线性分析研讨班

报告人：王盛文 助理教授  (Queen Mary University of London)

题  目：A Brakke type regularity theorem for the Allen-Cahn flow

时  间：2022.10.07（星期五）下午4:00-5:00

地  点：腾讯会议：948-3602-5762

摘  要：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 $\epsilon$ tend 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.