Global attractors for singular perturbations of the Cahn-Hilliard equations

Journal article

Authors/Editors

Milani, Albert

Research Areas

No matching items found.

Publication Details

Author list: Zheng SM, Milani A

Publisher: Elsevier

Place: SAN DIEGO

Publication year: 2005

Journal: Journal of Differential Equations (0022-0396)

Journal acronym: J DIFFER EQUATIONS

Volume number: 209

Issue number: 1

Start page: 101

End page: 139

Number of pages: 39

ISSN: 0022-0396

eISSN: 1090-2732

Languages: English-Great Britain (EN-GB)

View in Web of Science | View on publisher site | View citing articles in Web of Science

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 global attractors in the phase space H-0(1) (0, pi) x H-1 (0, pi), and that these global attractors are at least upper-semicontinuous with respect to the vanishing of the perturbation parameter. (C) 2004 Elsevier Inc. All rights reserved.

Keywords

Cahn-Hilliard equations, global attractor, semiflow, singular perturbation, upper semicontinuity

Documents