Title
Phase Separation from Attractive Interactions
Abstract
Phase separation is a fundamental phenomenon arising in multicomponent systems across materials science, biology, and social dynamics — from cell sorting and pedestrian lane formation to ion channels. This talk discusses how self-organized phase separation emerges in transport-cross-diffusion models, driven by motility and interaction rather than energetic bistability. We exploit gradient flow and entropy structures to establish global existence and characterize the large-time behavior of the resulting systems. Vice versa, we discuss how these problems recently drove progress on cross-diffusion systems.
