Global attractors for porous-elasticity system from second spectrum viewpoint

B Feng, MM Freitas, DSA Júnior, AJA Ramos… - Nonlinear Analysis: Real …, 2023 - Elsevier
This paper is concerned with the global attractors for a new partially damped porous-
elasticity system by taking a truncated version which is free of blow-up on second wave …

[HTML][HTML] Energy decay analysis for porous elastic system with thermoelasticity of type III: a second spectrum approach

H Zougheib, T El Arwadi - Results in Applied Mathematics, 2024 - Elsevier
Numerous studies have been conducted to investigate porous systems under different
damping effects. Recent research has consistently achieved the expected exponential …

On the well posedness and the stability of a thermoelastic Gurtin-Pipkin Timoshenko system without the second spectrum

SA Messaoudi, A Keddi - Z. Anal. Anwend., 2024 - ems.press
In this work, we establish the well-posedness and the asymptotic stability of a linear
thermoelastic Gurtin–Pipkin–Timoshenko system free of second spectrum. We give a …

On a Truncated Thermoelastic Timoshenko System With a Dual‐Phase Lag Model

SA Messaoudi, A Keddi… - Mathematical Methods in …, 2025 - Wiley Online Library
In this work, we consider a one‐dimensional truncated Timoshenko system coupled with a
heat equation, where the heat flux is given by the generalized dual‐phase lag model. By …

Energy decay analysis for Porous elastic system with microtemperature: Classical vs second spectrum approach

H Zougheib, TE Arwadi, M El-Hindi… - … Differential Equations and …, 2024 - Springer
The stability features of the dissipative porous elastic systems have piqued the interest of
several researchers. The desired exponential decay property of the energy is obtained …

Well Posedness and Exponential Stability of a Porous Elastic System Free of Second Spectrum

A Ahmima, A Fareh, SA Messaoudi - Acta Applicandae Mathematicae, 2024 - Springer
This work focusses on the well–posedness and the exponential stability of a simplified
porous elastic system. By omitting the second time derivative term of the function φ in the …

Asymptotic behavior of solutions of a viscoelastic Shear beam model with no rotary inertia: General and optimal decay results

AM Al-Mahdi - Open Mathematics, 2024 - degruyter.com
In this study, we consider a viscoelastic Shear beam model with no rotary inertia.
Specifically, we study ρ 1 φ tt− κ (φ x+ ψ) x+(g∗ φ xx)(t)= 0,− b ψ xx+ κ (φ x+ ψ)= 0, where the …

[PDF][PDF] ON THE EXISTENCE AND STABILITY OF SOLUTIONS OF A TYPE-III THERMOELASTIC TRUNCATED TIMOSHENKO SYSTEM

A Ahmima, SA Messaoudi… - Journal of Applied Analysis …, 2024 - jaac-online.com
This paper is concerned with the well-posedness and stability of a one-dimensional
thermoelastic truncated Timoshenko system of Type III. In order to establish the well …

Well-posedness and asymptotic behavior of some evolution problems with delay

S Loucif - 2024 - dspace.univ-tebessa.dz
In this thesis, we will study some evolution problems that represent some physical
phenomena (Piezoelectric beam, Kirchhoff beam) with some types of delay (for example …

The Dissipative Bresse-Timoshenko System without a Second Spectrum is Well-Posedness and Exponential Stability

C Wang - Asian Journal of Mathematics and Computer …, 2024 - public.paper4promo.com
Aims: This paper investigates the dissipative Bresse-Timoshenko system without second
spectrum. Study Design: Cross-sectional study. Place and Duration of Study: This paper was …