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

共 50 条

[41] THE EXISTENCE OF GLOBAL ATTRACTOR FOR CONVECTIVE CAHN-HILLIARD EQUATION
Zhao, Xiaopeng
Liu, Bo
JOURNAL OF THE KOREAN MATHEMATICAL SOCIETY, 2012, 49 (02) : 357 - 378
[42] A MOBILITY-SAV APPROACH FOR A CAHN-HILLIARD EQUATION WITH DEGENERATE MOBILITIES
Bretin, Elie
Calatroni, Luca
Masnou, Simon
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS-SERIES S, 2024, 17 (01): : 131 - 159
[43] Existence and Blow-up of Smooth Solutions for Cahn-Hilliard Equation with Inertial Term
丁蓉
吴志刚
Journal of Donghua University(English Edition), 2019, 36 (04) : 413 - 420
[44] GLOBAL EXISTENCE FOR A NONSTANDARD VISCOUS CAHN-HILLIARD SYSTEM WITH DYNAMIC BOUNDARY CONDITION
Colli, Pierluigi
Gilardi, Gianni
Sprekels, Juergen
SIAM JOURNAL ON MATHEMATICAL ANALYSIS, 2017, 49 (03) : 1732 - 1760
[45] Existence and energy estimates of weak solutions for nonlocal Cahn-Hilliard equations on an unbounded domain
Kurima, Shunsuke
JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2019, 478 (01) : 108 - 132
[46] Global existence of solutions for a viscous Cahn-Hilliard equation with gradient dependent potentials and sources
Qu, Chengyuan
Cao, Yang
PROCEEDINGS OF THE INDIAN ACADEMY OF SCIENCES-MATHEMATICAL SCIENCES, 2013, 123 (04): : 499 - 513
[47] Smoothness and long time existence for solutions of the Cahn-Hilliard equation on manifolds with conical singularities
Lopes, Pedro T. P.
Roidos, Nikolaos
MONATSHEFTE FUR MATHEMATIK, 2022, 197 (04): : 677 - 716
[48] Global existence of solutions of the time fractional Cahn-Hilliard equation in R3
Ye, Hailong
Liu, Qiang
Chen, Zhi-Min
JOURNAL OF EVOLUTION EQUATIONS, 2021, 21 (02) : 2377 - 2411
[49] Existence of weak solutions to a Cahn-Hilliard-Biot system
Abels, Helmut
Garcke, Harald
Haselboeck, Jonas
NONLINEAR ANALYSIS-REAL WORLD APPLICATIONS, 2025, 81
[50] Global attractor for the Cahn-Hilliard/Allen-Cahn system
Gokieli, M
Ito, A
NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS, 2003, 52 (07) : 1821 - 1841

← 1 2 3 4 5 →