Monday March 17, 2003

Speaker: Alexander Lobkovsky (MIT)

Title: Gradient flow of a singular functional

Abstract: We model antiphase boundaries with a phenomenological free energy with a cusp singularity. There is still a unique way to define equations of motion of the order parameters using the canonical restriction of the subgradient of the free energy functional. We discuss consequences of this theory for the dynamics of grain boundaries in a polycrystal.