EXPONENTIAL DECAY FOR THE TRUNCATED VERSION OF THE POROUS-ELASTIC MODEL

Authors

Dilberto Da Silva Almeida Júnior, Faculty of Mathematics, PhD Program in Mathematics, Federal University of Para, Belem, Para, BrazilFollow
Baowei Feng, Department of Economics Southwestern University of Finance and Economics, Chengdu ChinaFollow
Luiz Gutemberg Miranda, Faculty of Mathematics, Federal University of Para, Salinopolis, Para, BrazilFollow

Keywords

Truncated porous-elastic, Faedo-Galerkin stability, second spectrum

Disciplines

Architecture | Business | Engineering | Physical Sciences and Mathematics

Abstract

This paper investigates the one-dimensional truncated version of the porous-elastic system that avoids the damaging con sequences associated with the second frequency spectrum. We consider a feedback law acting on the displacement of the elastic solid and establish well-posedness via the Faedo-Galerkin method. Furthermore, we prove an exponential energy decay result that holds independently of any specific relationship between the system’s coefficients, using the energy perturbation method.

Author ORCID Identifier

Dilberto Da Silva Almeida Júnior https://orcid.org/0000-0002-0009-7290

Baowei Feng https://orcid.org/0000-0003-4507-8170

Recommended Citation

Almeida Júnior, Dilberto Da Silva; Feng, Baowei; and Miranda, Luiz Gutemberg (2025) "EXPONENTIAL DECAY FOR THE TRUNCATED VERSION OF THE POROUS-ELASTIC MODEL," BAU Journal - Science and Technology: Vol. 6: Iss. 2, Article 1.
DOI: https://doi.org/10.54729/2959-331X.1143

ISSN

2959-331X