In this article, we are interested in the study of the well-posedness as well as of the long time behavior, in terms of finite-dimensional attractors, of a coupled Allen–Cahn/Cahn–Hilliard system associated with dynamic boundary conditions. In particular, we prove the existence of the global attractor with finite fractal dimension.

中文翻译：

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具有动态边界条件的耦合Cahn–Hilliard / Allen–Cahn系统

在本文中，我们对与动态边界条件相关的Allen-Cahn / Cahn-Hilliard耦合系统的有限维吸引子的适定性以及长期行为的研究感兴趣。特别是，我们证明了分形维数有限的整体吸引子的存在。