In this paper, we study the long time behavior of solution for the initial-boundary value problem of convective Cahn–Hilliard equation in a 2D case. We show that the equation has a global attractor in $H^{4}(\Omega )$ when the initial value belongs to $H^{1}(\Omega )$ .

中文翻译：

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二维对流Cahn-Hilliard方程的整体动力学

在本文中，我们研究了二维情况下对流Cahn-Hilliard方程初边值问题解的长时间行为。我们证明当初始值属于$ H ^ {1}（\ Omega）$时，该方程在$ H ^ {4}（\ Omega）$中具有全局吸引子。