J. Korean Math. Soc. 2012; 49(2): 357-378
Printed March 1, 2012
https://doi.org/10.4134/JKMS.2012.49.2.357
Copyright © The Korean Mathematical Society.
Xiaopeng Zhao and Bo Liu
Jilin University, Jilin University
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
MSC numbers: 35B41, 35K35
2017; 54(3): 773-791
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