arXiv Open Access 2023

Degenerate Cahn-Hilliard systems: From nonlocal to local

José A. Carrillo Charles Elbar Jakub Skrzeczkowski

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Abstrak

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.

Topik & Kata Kunci

math.AP

Penulis (3)

José A. Carrillo

Charles Elbar

Jakub Skrzeczkowski

Format Sitasi

APA MLA BibTeX

Carrillo, J.A., Elbar, C., Skrzeczkowski, J. (2023). Degenerate Cahn-Hilliard systems: From nonlocal to local. https://arxiv.org/abs/2303.11929

Akses Cepat

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Informasi Jurnal

Tahun Terbit: 2023
Bahasa: en
Sumber Database: arXiv
Akses: Open Access ✓