The viscous Cahn-Hilliard equation with inertial term

Ahmed Bonfoh

doi:10.1016/j.na.2010.09.049

The viscous Cahn-Hilliard equation with inertial term

Ahmed Bonfoh^*

^*Corresponding author for this work

Department of Mathematics

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

5 Scopus citations

Abstract

We consider a hyperbolic relaxation of the viscous Cahn-Hilliard equation. This equation describes the early stages of spinodal decomposition in certain glasses. We establish the existence of families of exponential attractors and inertial manifolds which are continuous at any parameter of viscosity <0. Continuity properties of the global attractors are also examined.

Original language	English
Pages (from-to)	946-964
Number of pages	19
Journal	Nonlinear Analysis, Theory, Methods and Applications
Volume	74
Issue number	3
DOIs	https://doi.org/10.1016/j.na.2010.09.049
State	Published - 1 Feb 2011

Keywords

Exponential attractors
Global attractors
Hyperbolic relaxation
Inertial manifolds
Viscous Cahn-Hilliard equations

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.na.2010.09.049

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title = "The viscous Cahn-Hilliard equation with inertial term",

abstract = "We consider a hyperbolic relaxation of the viscous Cahn-Hilliard equation. This equation describes the early stages of spinodal decomposition in certain glasses. We establish the existence of families of exponential attractors and inertial manifolds which are continuous at any parameter of viscosity <0. Continuity properties of the global attractors are also examined.",

keywords = "Exponential attractors, Global attractors, Hyperbolic relaxation, Inertial manifolds, Viscous Cahn-Hilliard equations",

author = "Ahmed Bonfoh",

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T1 - The viscous Cahn-Hilliard equation with inertial term

AU - Bonfoh, Ahmed

PY - 2011/2/1

Y1 - 2011/2/1

N2 - We consider a hyperbolic relaxation of the viscous Cahn-Hilliard equation. This equation describes the early stages of spinodal decomposition in certain glasses. We establish the existence of families of exponential attractors and inertial manifolds which are continuous at any parameter of viscosity <0. Continuity properties of the global attractors are also examined.

AB - We consider a hyperbolic relaxation of the viscous Cahn-Hilliard equation. This equation describes the early stages of spinodal decomposition in certain glasses. We establish the existence of families of exponential attractors and inertial manifolds which are continuous at any parameter of viscosity <0. Continuity properties of the global attractors are also examined.

KW - Exponential attractors

KW - Global attractors

KW - Hyperbolic relaxation

KW - Inertial manifolds

KW - Viscous Cahn-Hilliard equations

UR - https://www.scopus.com/pages/publications/78149279825

U2 - 10.1016/j.na.2010.09.049

DO - 10.1016/j.na.2010.09.049

M3 - Article

AN - SCOPUS:78149279825

SN - 0362-546X

VL - 74

SP - 946

EP - 964

JO - Nonlinear Analysis, Theory, Methods and Applications

JF - Nonlinear Analysis, Theory, Methods and Applications

IS - 3

ER -

The viscous Cahn-Hilliard equation with inertial term

Abstract

Keywords

ASJC Scopus subject areas

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