Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains-Reference-Cited by-同舟云学术

Polynomial stability for the equations of porous elasticity in one-dimensional bounded domains

Published:2021-06-08 Issue:2 Volume:27 Page:308-318
ISSN:1081-2865
Container-title:Mathematics and Mechanics of Solids
language:en
Short-container-title:Mathematics and Mechanics of Solids

Author:

Júnior D. S. Almeida¹^ORCID,Ramos A. J. A.²,Freitas M. M.²,Dos Santos M. J.³,Arwadi T. El⁴

Affiliation:

1. Department of Mathematics, Federal University of Pará, Belém–PA, Brazil

2. Faculty of Mathematics, Federal University of Pará, Salinópolis–PA, Brazil

3. Faculty of Exact Sciences and Technology, Federal University of Pará, Abaetetuba–PA, Brazil

4. Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Debbieh, Lebanon

Abstract

In this paper, we consider a porous–elastic system where the dissipation mechanisms act on the elastic and on the porous structures. Here, we consider the one-dimensional porous–elastic system defined on bounded domains in space and we proved the polynomial stability when a particular relationship between the damping parameters is equal to zero. We also prove the optimality of the rate of polynomial decay.

Funder

Conselho Nacional de Desenvolvimento Científico e Tecnológico

Publisher

SAGE Publications

Subject

Mechanics of Materials,General Materials Science,General Mathematics

Link

http://journals.sagepub.com/doi/pdf/10.1177/10812865211019074

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