Phase transitions with Allen-Cahn mean curvature bounded in Lp.
报告人:王盛文(伦敦玛丽女王大学)
时间:2024-05-06 10:00-11:00
地点:智华楼412
【摘要】
We consider the varifolds associated to a phase transition problem whose first variation of Allen-Cahn energy is Lp 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 Lp mean curvature. This is joint work with Huy Nguyen.