We consider the initial-boundary value problem for the perturbed viscous Cahn-Hilliard equation in space dimension n ≤ 3. Applying semigroup theory, we formulate this problem as an abstract evolutionary equation with a sectorial operator in the main part. We show that the semigroup generated by this problem admits a global attractor in the phase space (H²(Ω)∩ H¹₀(Ω)) × L²(Ω) and characterize its structure.
@article{bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-4,
author = {Maria B. Kania},
title = {Global attractor for the perturbed viscous Cahn-Hilliard equation},
journal = {Colloquium Mathematicae},
volume = {107},
year = {2007},
pages = {217-229},
zbl = {1116.35026},
language = {en},
url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-4}
}
Maria B. Kania. Global attractor for the perturbed viscous Cahn-Hilliard equation. Colloquium Mathematicae, Tome 107 (2007) pp. 217-229. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-cm109-2-4/