Degenerate Cahn-Hilliard systems: From nonlocal to local

被引：2

作者：

Carrillo, Jose A. ^{[1
]}

Elbar, Charles ^{[2
]}

Skrzeczkowski, Jakub ^{[1
,3
]}

机构：

[1] Univ Oxford, Math Inst, Wood stock Rd, Oxford OX2 6GG, England

[2] Sorbonne Univ, Fac Sci & Ingn, Lab Jacques Louis Lions LJLL, 4 Pl JussieuF, F-75005 Paris, France

[3] Univ Warsaw, Fac Math Informat & Mech, Stefana Banacha, Warsaw PL-202097, Poland

来源：

COMMUNICATIONS IN CONTEMPORARY MATHEMATICS | 2025年 / 27卷 / 06期

基金：

英国工程与自然科学研究理事会; 欧洲研究理事会;

关键词：

Degenerate Cahn-Hilliard equation; nonlocal Cahn-Hilliard equation; aggregation-diffusion; singular limit; AGGREGATION-DIFFUSION EQUATIONS; FINITE-VOLUME SCHEMES; FULLY DISCRETE; FLOW; MODEL; LIMIT; MAPS;

D O I：

10.1142/S021919972450041X

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页数：31

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