Degenerate Cahn-Hilliard systems: From nonlocal to local
José Antonio Carrillo, Charles Elbar, Jakub Skrzeczkowski · HAL (Le Centre pour la Communication Scientifique Directe) · 2023
We provide a rigorous mathematical framework to establish the limit of a nonlocal model of cell-cell adhesion system to a local model. When the parameter of the nonlocality goes to 0, the system tends to a Cahn-Hilliard system with degenerate mobility and cross interaction forces. Our analysis relies on a priori estimates and compactness properties.