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http://dx.doi.org/10.4134/JKMS.2012.49.2.357

THE EXISTENCE OF GLOBAL ATTRACTOR FOR CONVECTIVE CAHN-HILLIARD EQUATION  

Zhao, Xiaopeng (College of Mathematics Jilin University)
Liu, Bo (College of Mathematics Jilin University)
Publication Information
Journal of the Korean Mathematical Society / v.49, no.2, 2012 , pp. 357-378 More about this Journal
Abstract
In this paper, we consider the convective Cahn-Hilliard equation. Based on the regularity estimates for the semigroups, iteration technique and the classical existence theorem of global attractors, we prove that the convective Cahn-Hilliard equation possesses a global attractor in $H^k$($k\geq0$) space, which attracts any bounded subset of $H^k({\Omega})$ in the $H^k$-norm.
Keywords
attractor; convective Cahn-Hilliard equation; absorbing set;
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