Degenerate Cahn-Hilliard systems: From nonlocal to local
arXiv:2303.11929
Abstract
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.
arXiv comment23 pages + appendix + bibliography
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