Two-dimensional poroelastic problem for saturated soil under fractional order theory of thermoelasticity

Y Guo, C Xiong, J Ma, D Li, C Wang - Transport in Porous Media, 2022 - Springer
Abstract A two-dimensional (2D) half-space elastic subgrade with multiple physical field
coupling is examined in this study with normal mode analysis (NMA) under Ezzat's fractional …

Exponential stability for porous thermoelastic systems with Gurtin-Pipkin flux

J Hao, J Yang - Electronic Journal of Differential Equations, 2023 - ejde-ojs-txstate.tdl.org
In this article, we study the stability of a porous thermoelastic system with Gurtin-Pipkin flux.
Under suitable assumptions for the derivative of the heat flux relaxation kernel, we establish …

Exponential stabilization of a flexible structure with a local interior control and under the presence of a boundary infinite memory

B Chentouf, S Mansouri - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
In this paper, we deal with the interior stabilization problem of a flexible structure governed
by a hyperbolic partial differential equation coupled to two ordinary differential equations …

General decay of solutions for a viscoelastic porous system with Kelvin-Voigt damping

H Makheloufi, TA Apalara - Journal of Mathematical Analysis and …, 2024 - Elsevier
This study investigates the asymptotic stability of a viscoelastic porous system with Kelvin-
Voigt damping. The system under consideration involves coupled equations describing the …

General decay of the solution to a nonlinear viscoelastic beam with delay

A Khemmoudj - Partial Differential Equations and Applications, 2023 - Springer
In this paper we consider a nonlinear viscoelastic beam with a linear delay term and infinite
memory term. The well posedness of solutions is proved using the semigroup method. We …

Dynamics and singular limit for a swelling porous elastic soil model with fluid saturation and fractional delay

LGR Miranda, MM Freitas, MJ Dos Santos - Journal of Mathematical …, 2024 - Elsevier
The asymptotic behavior of a system based on a swelling porous elastic soil model with
weak retardation will be studied. The well-posedness of the problem will be proven. It will be …

Asymptotic stability of porous-elasticity with microtemparature of second-sound type

TA Apalara, SA Messaoud, M Zahri - Afrika Matematika, 2024 - Springer
In this work, we establish exponential and polynomial decay results for a one-dimensional
porous-elastic system with microtemperatures depending on the system's parameters. Our …

[PDF][PDF] Global existence and exponential decay for thermoelastic system with nonlinear distributed delay

N Taouaf, B Lekdim - Filomat, 2023 - doiserbia.nb.rs
In this work, we consider the thermoelastic system with a nonlinear distributed delay. Under
appropriate hypothesis on the weight function of the delay we prove well-posedness by …

[PDF][PDF] On the exponential decay of a thermoelastic porous system with a forcing term and constant delay

M Houasni, A Krelifa, H Boukabcha, S Zitouni - Journal| MESA, 2023 - researchgate.net
In this paper, we consider a one-dimensional porous-elastic system with a forcing and delay
terms acting on the porous equations. Under suitable assumptions on the forcing function …

Stabilization of the Coleman-Gurtin thermal coupling with swelling porous system: general decay rate

AM Al-Mahdi, TA Apalara, M Al-Gharabli… - … DELL'UNIVERSITA'DI …, 2025 - Springer
Stabilization of the Coleman-Gurtin thermal coupling with swelling porous system: general
decay rate | ANNALI DELL'UNIVERSITA' DI FERRARA Skip to main content Springer …