Degenerate Cahn-Hilliard systems: From nonlocal to local

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.