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.

引用

页数：19

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