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Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term

الاستقرار الأسي لمرونة التورم المسامية مع التخميد اللزج المرن ومدة التأخير الموزعة
Authors: Abdelbaki Choucha; Salah Boulaaras; Djamel Ouchenane; Bahri Cherif; Mohamed Abdalla;

Exponential Stability of Swelling Porous Elastic with a Viscoelastic Damping and Distributed Delay Term

Abstract

In this paper, we consider a swelling porous elastic system with a viscoelastic damping and distributed delay terms in the second equation. The coupling gives new contributions to the theory associated with asymptotic behaviors of swelling porous elastic soils. The general decay result is established by the multiplier method.

Keywords

Thermoelastic Damping and Heat Conduction, Composite material, distributed delay in the second equation, Nuclear physics, Mechanics, Exponential stability, Mathematical analysis, Quantum mechanics, Term (time), Initial-boundary value problems for second-order hyperbolic systems, Engineering, multiplier method, Exponential decay, QA1-939, Coupling (piping), FOS: Mathematics, Multiscale Methods for Heterogeneous Systems, Swelling, Thermoelasticity, Dual-Phase-Lag Model, Asymptotic behavior of solutions to PDEs, Physics, Exponential function, Porous medium, Viscoelasticity, Distributed Parameter Systems, Generalized Thermoelastic Diffusion, Materials science, Computational Theory and Mathematics, Mechanics of Materials, Control and Systems Engineering, Computer Science, Physical Sciences, Analysis and Control of Distributed Parameter Systems, Nonlinear system, Porosity, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
22
Top 10%
Top 10%
Top 10%
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