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Applicable Analysis
An International Journal
Volume 100, 2021 - Issue 16
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Articles

Finite dimensional attractors for binary mixtures of viscoelastic bodies

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Pages 3613-3628 | Received 12 Jul 2019, Accepted 31 Jan 2020, Published online: 12 Feb 2020
 

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.

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Disclosure statement

No potential conflict of interest was reported by the author(s).

Additional information

Funding

This study was financed in part by the Coordenação de Aperfeiçoamento de Pessoal de Nível Superior – Brasil (CAPES) – Finance Code 001, and by Fundação de Amparo à Pesquisa do Estado de Minas Gerais (FAPEMIG).

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