Explore phase-field models for motion by mean curvature in this lecture by Panagiotis Souganidis from the University of Chicago. Delivered as part of the International School on Extrinsic Curvature Flows, delve into topics such as skew symmetric skew, moving independently and as one set, levelsets, distance functions, and classical statements. Examine theorems, subsolutions, and proofs related to phase-field models and their applications in mean curvature motion.