Abstract In this paper, we consider the initial boundary value problem for the hyperbolic relaxation of the 2D Cahn-Hilliard/Allen-Cahn equation with cubic nonlinearity of class C 2 . We prove that the semigroup generated by the weak solutions of this problem possesses a global attractor. We also improve the previously obtained results concerning the global attractors for the 2D Cahn-Hilliard equation with the inertial term.

中文翻译：

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关于具有惯性项的二维 Cahn-Hilliard/Allen-Cahn 方程

摘要 在本文中，我们考虑了类C 2 三次非线性的二维Cahn-Hilliard/Allen-Cahn方程的双曲松弛初边值问题。我们证明了这个问题的弱解产生的半群具有全局吸引子。我们还改进了先前获得的关于具有惯性项的二维 Cahn-Hilliard 方程的全局吸引子的结果。