Exponential attractors and inertial manifolds for singular perturbations of the Cahn-Hilliard equations

Journal article

Authors / Editors

Milani, Albert

Research Areas

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Publication Details

Author list: Zheng SM, Milani A

Publisher: Elsevier

Place: OXFORD

Publication year: 2004

Journal: Nonlinear Analysis (0362-546X)

Journal acronym: NONLINEAR ANAL-THEOR

Volume number: 57

Issue number: 5-6

Start page: 843

End page: 877

Number of pages: 35

ISSN: 0362-546X

Languages: English-Great Britain (EN-GB)

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Abstract

We consider the singular perturbations of two boundary value problems, concerning, respectively, the viscous and the nonviscous Cahn-Hilliard equations in one dimension of space. We show that the dynamical systems generated by these two problems admit exponential attractors and inertial manifolds in the phase space H-0(1)(0, pi) x H-1(0, pi). (C) 2004 Elsevier Ltd. All rights reserved.

Keywords

Cahn-Hilliard equations, exponential attractor, inertial manifold, semiflow, singular perturbation

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