Existence of solutions to a Cahn-Hilliard system with two mobilities

被引：3
|
作者：
Cherfils, Laurence [1 ]
Miranville, Alain [2 ,3 ,4 ]
机构：
[1] La Rochelle Univ, LaSIE, CNRS, UMR 7356, Ave Michel Crepeau, F-17042 La Rochelle 1, France
[2] Henan Normal Univ, Sch Math & Informat Sci, Xinxiang, Henan, Peoples R China
[3] Univ Poitiers, Equipe DACTIM MIS, Lab I3M, Site Futuroscope Teleport 2,11 Blvd Marie & Pierre, F-86073 Poitiers 9, France
[4] Equipe DACTIM MIS, Lab Math & Applicat, Site Futuroscope Teleport 2,11 Blvd Marie & Pierre, F-86073 Poitiers 9, France
来源：
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2023年 / 528卷 / 01期
关键词：
Cahn-Hilliard system; Nonlinear mobilities; Existence of solutions; Passage to the limit; EQUATION;
D O I：
10.1016/j.jmaa.2023.127606
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
Our aim in this paper is to prove the existence of solutions to a Cahn-Hilliard system with two nondegenerating mobilities. One essential difficulty here is to pass to the limit in the approximated problems constructed via a Galerkin scheme. We consider both cubic and logarithmic nonlinear terms.& COPY; 2023 Elsevier Inc. All rights reserved.
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页数：19
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