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Degenerate Cahn-Hilliard systems: From nonlocal to local
Published 21 Mar 2023 in math.AP | (2303.11929v1)
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.
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