Title of article
Exponential attractors and inertial manifolds for singular perturbations of the Cahn–Hilliard equations Original Research Article
Author/Authors
Songmu Zheng، نويسنده , , Albert Milani، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2004
Pages
35
From page
843
To page
877
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 H01(0,π)×H−1(0,π).
Keywords
Singular perturbation , Exponential attractor , Semiflow , Inertial manifold , Cahn–Hilliard equations
Journal title
Nonlinear Analysis Theory, Methods & Applications
Serial Year
2004
Journal title
Nonlinear Analysis Theory, Methods & Applications
Record number
858618
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