On Cahn-Hilliard-Gurtin equations

A. Bonfoh; A. Miranville

doi:10.1016/S0362-546X(01)00463-1

On Cahn-Hilliard-Gurtin equations

A. Bonfoh^*, A. Miranville

^*Corresponding author for this work

Research output: Contribution to journal › Article › peer-review

35 Scopus citations

Abstract

Generalizations of the Cahn-Hilliard equation based on constitutive equations are studied. The existence and uniqueness of solutions are obtained using a simplified model. The existence of finite dimensional attractors is analyzed.

Original language	English
Pages (from-to)	3455-3466
Number of pages	12
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	47
Issue number	5
DOIs	https://doi.org/10.1016/S0362-546X(01)00463-1
State	Published - Aug 2001
Externally published	Yes

Keywords

Cahn-Hilliard equation
Exponential attractor
Global attractor
Internal microforces
Nonisotropic material

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/S0362-546X(01)00463-1

Cite this

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title = "On Cahn-Hilliard-Gurtin equations",

abstract = "Generalizations of the Cahn-Hilliard equation based on constitutive equations are studied. The existence and uniqueness of solutions are obtained using a simplified model. The existence of finite dimensional attractors is analyzed.",

keywords = "Cahn-Hilliard equation, Exponential attractor, Global attractor, Internal microforces, Nonisotropic material",

author = "A. Bonfoh and A. Miranville",

year = "2001",

month = aug,

doi = "10.1016/S0362-546X(01)00463-1",

language = "English",

volume = "47",

pages = "3455--3466",

journal = "Nonlinear Analysis, Theory, Methods and Applications",

issn = "0362-546X",

number = "5",

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T1 - On Cahn-Hilliard-Gurtin equations

AU - Bonfoh, A.

AU - Miranville, A.

PY - 2001/8

Y1 - 2001/8

N2 - Generalizations of the Cahn-Hilliard equation based on constitutive equations are studied. The existence and uniqueness of solutions are obtained using a simplified model. The existence of finite dimensional attractors is analyzed.

AB - Generalizations of the Cahn-Hilliard equation based on constitutive equations are studied. The existence and uniqueness of solutions are obtained using a simplified model. The existence of finite dimensional attractors is analyzed.

KW - Cahn-Hilliard equation

KW - Exponential attractor

KW - Global attractor

KW - Internal microforces

KW - Nonisotropic material

UR - https://www.scopus.com/pages/publications/0035419548

U2 - 10.1016/S0362-546X(01)00463-1

DO - 10.1016/S0362-546X(01)00463-1

M3 - Article

AN - SCOPUS:0035419548

SN - 0362-546X

VL - 47

SP - 3455

EP - 3466

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 5

ER -

On Cahn-Hilliard-Gurtin equations

Abstract

Keywords

ASJC Scopus subject areas

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