The aim of this paper is to study higher-order Caginalp phase-field systems based on the Maxwell–Cattaneo law, instead of the classical Fourier law. More precisely, one obtains well-posedness results, as well as the existence of finite-dimensional attractors.

中文翻译：

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基于Cattaneo定律的高阶各向异性Caginalp相场系统的长期行为

本文的目的是研究基于麦克斯韦-卡塔尼定律而不是经典傅里叶定律的高阶Caginalp相场系统。更确切地说，人们获得了适定性的结果以及有限维吸引子的存在。