Journal article
Degenerate Cahn–Hilliard systems: from nonlocal to local
- Abstract:
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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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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- Files:
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(Preview, Version of record, pdf, 695.8KB, Terms of use)
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- Publisher copy:
- 10.1142/S021919972450041X
Authors
- Publisher:
- World Scientific Publishing
- Journal:
- Communications in Contemporary Mathematics More from this journal
- Volume:
- 27
- Issue:
- 6
- Article number:
- 2450041
- Publication date:
- 2024-08-31
- Acceptance date:
- 2024-06-24
- DOI:
- EISSN:
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1793-6683
- ISSN:
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0219-1997
- Language:
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English
- Keywords:
- Pubs id:
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1333975
- Local pid:
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pubs:1333975
- Deposit date:
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2024-06-23
- ARK identifier:
Terms of use
- Copyright holder:
- Carrillo et al.
- Copyright date:
- 2024
- Rights statement:
- © The Author(s). This is an Open Access article published by World Scientific Publishing Company. It is distributed under the terms of the Creative Commons Attribution 4.0 (CC BY) License which permits use, distribution and reproduction in any medium, provided the original work is properly cited.
- Licence:
- CC Attribution (CC BY)
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