Finite dimensional attractors for binary mixtures of viscoelastic bodies

被引：1
作者：
Alves, M. S. [1 ]
Cardozo, C. L. [2 ]
Monteiro, R. N. [1 ]
机构：
[1] Univ Fed Vicosa, Dept Math, Vicosa, MG, Brazil
[2] Univ Estadual Londrina, Dept Math, Londrina, Parana, Brazil
来源：
APPLICABLE ANALYSIS | 2021年 / 100卷 / 16期
关键词：
Irena Lasiecka; Mixtures problems; global attractor; fractal dimension; exponential attractor; NON-LINEAR DIFFUSION; THERMOVISCOELASTIC MIXTURES; EXPONENTIAL DECAY; STABILITY;
D O I：
10.1080/00036811.2020.1726326
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We consider a class of semilinear problems for binary mixtures in the presence of viscoelastic dissipation. This paper aims to study the existence and properties of long-time dynamics in a two-dimensional setting. More precisely, we first prove the existence of a finite-dimensional global attractor that exhibits additional regularity in higher topology. Secondly, we show that the dynamical system has a generalized fractal exponential attractor.
引用
收藏
页码：3613 / 3628
页数：16
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