Finite dimensional attractors for binary mixtures of viscoelastic bodies. Issue 16 (10th December 2021)

• Record Type: Journal Article
• Authors: Alves, M. S.; Cardozo, C. L.; Monteiro, R. N.
• Is Part Of: Applicable analysis. Volume 100:Issue 16(2021)
• Page Start: 3613
• Page End: 3628
• Publication Date: 2021-12-10
• Subjects: Irena Lasiecka; Mixtures problems -- global attractor -- fractal dimension -- exponential attractor; 35B41 -- 35L53 -- 74K10; Mathematical analysis -- Periodicals; 515
• DOI: 10.1080/00036811.2020.1726326
• Languages: English
• ISSNs: 0003-6811

Abstract

Abstract : 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.