# zbMATH — the first resource for mathematics

Asymptotic behavior of the Cahn-Hilliard-Oono equation. (English) Zbl 1304.35342
Summary: 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 $$0$$.

##### MSC:
 35K55 Nonlinear parabolic equations 35K59 Quasilinear parabolic equations 35B41 Attractors
Full Text: