On the Gradient-Flow Structure of Multiphase Mean Curvature Flow - Tim Laux

Explore the gradient-flow structure of multiphase mean curvature flow in this comprehensive analysis seminar presented by Tim Laux from the University of California, Berkeley. Delve into the intricacies of this mathematical concept, beginning with an introduction to multiphase mean curvature floor and a review of previous work in the field. Examine the theorem, normal velocities, and boundary terms associated with this topic. Investigate energy convergence and strong uniqueness principles, and gain insights into the relative entropy involved. Follow along as the speaker methodically proves the concepts discussed, providing a thorough understanding of this complex subject matter. This 70-minute lecture, delivered at the Institute for Advanced Study on December 9, 2019, offers an in-depth exploration for those interested in advanced mathematical analysis.

Introduction
Multiphase mean curvature floor
Previous work
Theorem
Normal velocities
Boundary terms
Energy convergence
Strong uniqueness
Relative entropy
Proof