| Volume 1, Number 4, 2011, Pages 523-536 DOI：10.11948/2011036 |
| Asymptotic behavior of the Cahn-Hilliard-Oono equation |
| Alain Miranville |
| Keywords:Cahn-Hilliard-Oono equation |
| Abstract: |
| Our aim in this article is to study the asymptotic behavior, in terms of finite-dimensional attractors, of the Cahn-Hilliard-Oono equation. This equation differs from the usual Cahn-Hilliard equation by the presence of a term of the form \( \epsilon u,\ \epsilon >0\), which takes into account long-ranged interactions. In particular, we prove the existence of a robust family of exponential attractors as \(\epsilon\) goes to \(0\). |
PDF Download reader
|
|
|
|