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

Songmu Zheng, Albert Milani

Research output: Contribution to journalArticle

29 Citations (Scopus)

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 H0 1(0,π)×H-1(0,π).

Original languageEnglish
Pages (from-to)843-877
Number of pages35
JournalNonlinear Analysis, Theory, Methods and Applications
Volume57
Issue number5-6
DOIs
Publication statusPublished - May 1 2004

All Science Journal Classification (ASJC) codes

  • Analysis
  • Applied Mathematics

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