Porous-elasticity equations with indefinite damping

In this paper, we consider the one-dimensional porous-elasticity system with indefinite damping mechanism of type given by τ(x) (possibly changing sign) acting only in the equation for the volume fraction and we prove that the system is exponentially stable under particular relationship between coef...

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Bibliographic Details
Published in:Journal of computational and applied mathematics 2023-04, Vol.422, p.114890, Article 114890
Main Authors: Almeida Júnior, D.S., Santos, M.L., Muñoz Rivera, J.E., dos Santos, M.J.
Format: Article
Language:English
Subjects:
Dispersion analysis
Linear porous-elasticity
Spectrum determined growth property
Wave propagation speeds
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Summary:In this paper, we consider the one-dimensional porous-elasticity system with indefinite damping mechanism of type given by τ(x) (possibly changing sign) acting only in the equation for the volume fraction and we prove that the system is exponentially stable under particular relationship between coefficients of system and provided τ¯=∫0Lτ(x)dx>0 and ‖τ−τ¯‖L2
ISSN:0377-0427
1879-1778
DOI:10.1016/j.cam.2022.114890