Long-time behavior of the higher-order anisotropic Caginalp phase-field systems based on the Cattaneo law

被引：0

作者：

Ntsokongo, Armel Judice ^{[1
]}

Tathy, Christian ^{[2
]}

机构：

[1] Univ Marien Ngouabi, Fac Sci & Tech, BP 69, Brazzaville, Rep Congo

[2] Univ Marien Ngouabi, Lab Mecan Energet & Ingn, Ecole Natl Super Polytech, BP 69, Brazzaville, Rep Congo

来源：

ASYMPTOTIC ANALYSIS | 2022年 / 128卷 / 01期

关键词：

Phase-field systems; higher-order systems; Anisotropy; Maxwell-Cattaneo law; well-posedness; long-time behavior; dissipativity; global attractor; exponential attractor; PARTIAL-DIFFERENTIAL-EQUATIONS; EXPONENTIAL ATTRACTORS; MODELS; BOUNDARY;

D O I：

10.3233/ASY-211695

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

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.

引用

页码：1 / 30

页数：30

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