Global Attractor for the Convective Cahn–Hilliard Equation in $H^k$
Volume 59 / 2011
Bulletin Polish Acad. Sci. Math. 59 (2011), 53-64
MSC: 35B41, 35K35.
DOI: 10.4064/ba59-1-7
Abstract
We consider the convective Cahn–Hilliard equation with periodic boundary conditions. Based on the iteration technique for regularity estimates and the classical theorem on existence of a global attractor, we prove that the convective Cahn–Hilliard equation has a global attractor in $H^k$.
