Global attractor for the perturbed viscous Cahn-Hilliard equation

Maria B. Kania. "Global attractor for the perturbed viscous Cahn-Hilliard equation." Colloquium Mathematicae 109.2 (2007): 217-229. <http://eudml.org/doc/283551>.

@article{MariaB2007,
abstract = {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.},
author = {Maria B. Kania},
journal = {Colloquium Mathematicae},
keywords = {perturbed viscous Cahn–Hilliard equation; global attractor; semigroup theory; sectorial operator},
language = {eng},
number = {2},
pages = {217-229},
title = {Global attractor for the perturbed viscous Cahn-Hilliard equation},
url = {http://eudml.org/doc/283551},
volume = {109},
year = {2007},
}

TY - JOUR
AU - Maria B. Kania
TI - Global attractor for the perturbed viscous Cahn-Hilliard equation
JO - Colloquium Mathematicae
PY - 2007
VL - 109
IS - 2
SP - 217
EP - 229
AB - 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.
LA - eng
KW - perturbed viscous Cahn–Hilliard equation; global attractor; semigroup theory; sectorial operator
UR - http://eudml.org/doc/283551
ER -