Phase transitions with Allen-Cahn mean curvature bounded in $L^p$.

Seminar series

Geometry and Analysis Seminar

Date

Mon, 06 Mar 2023
14:15

Location

Speaker

Shengwen Wang

Organisation

Queen Mary University

We consider the varifolds associated to phase transitions whose first variation of Allen-Cahn energy is $L^p$ integrable with respect to the energy measure. We can see that the Dirichlet and potential part of the energy are almost equidistributed. After passing to the phase field limit, one can obtain an integer rectifiable varifold with bounded $L^p$ mean curvature. This is joint work with Huy Nguyen.