Global and exponential attractors for a nonlinear porous elastic system with delay term.

MJD Santos, B Feng, DSA Júnior… - Discrete & Continuous …, 2021 - search.ebscohost.com
This paper is concerned with the study on the existence of attractors for a nonlinear porous
elastic system subjected to a delay-type dam** in the volume fraction equation. The study …

Exponential stability of a transmission problem for wave equations with internal time‐varying delay and nonlinear degenerate weights

M Hu, XG Yang, Y Li - Mathematical Methods in the Applied …, 2023 - Wiley Online Library
This paper is concerned with a transmission problem for wave equations with internal time‐
varying delay and nonlinear degenerate weights. Under some appropriate assumptions, the …

Long-time dynamics of a nonlinear Timoshenko beam with discrete delay term and nonlinear dam**

MJ Dos Santos, MM Freitas, AJA Ramos… - Journal of …, 2020 - pubs.aip.org
The purpose of this manuscript is to establish well posedness as well as the existence of
global and exponential attractor for a nonlinear Timoshenko system subject to control terms …

A stability and numerical study of the solutions of a Timoshenko system with distributed delay

CA Nonato, MJD Santos, JAJ Avila… - Mathematische …, 2023 - Wiley Online Library
In this work, we analyze the stability of the semigroup associated with a Timoshenko beam
model with distributed delay in the rotation angle equation. We show that the type of stability …

Smooth dynamics of a Timoshenko system with hybrid dissipation

Y Qin, JE Muñoz Rivera, TF Ma - Asymptotic Analysis, 2022 - journals.sagepub.com
In this paper we study the longtime dynamics of a class of thermoelastic Timoshenko beams
with history in a nonlinear elastic foundation. Our main result establishes the existence of a …

[HTML][HTML] Global existence, asymptotic behavior and uniform attractors for a non-autonomous Timoshenko system of thermoelasticity of type III with a time-varying delay

Y Qin, X Pan - Journal of Mathematical Analysis and Applications, 2020 - Elsevier
In this paper, we first establish the global existence by using the variable norm technique of
Kato and semigroup method. Second, under suitable assumptions on the data, we obtain …

Stabilization of swelling porous elastic soils with fluid saturation, time varying-delay and time-varying weights

CAS Nonato, AJA Ramos, CA Raposo… - … Mathematik und Physik, 2022 - Springer
In this article we study the well-posedness and exponential stability to the one-dimensional
system in the linear isothermal theory of swelling porous elastic soils subject with time …

Singular limit and dynamics of the Timoshenko system with second sound and past history

X Cui, S Yao, L Zhang - Journal of Mathematical Physics, 2024 - pubs.aip.org
This paper is concerned with the Timoshenko system with second sound and past history.
We first prove that the Timoshenko system is the singular limit of the system we considered …

Dynamics of locally damped Timoshenko systems

MM Freitas, DSA Júnior, ML Santos… - … and Mechanics of …, 2023 - journals.sagepub.com
In this paper, we study the long-time dynamics of a Timoshenko system modeling vibrations
of beams with non-linear localized dam** mechanisms acting on both displacement and …

[HTML][HTML] Well-Posedness and Energy Decay Rates for a Timoshenko-Type System with Internal Time-Varying Delay in the Displacement

A Braik, SM Mirgani, EI Hassan, K Zennir - Symmetry, 2023 - mdpi.com
In this work, we consider a Timoshenko-type system in a bounded one-dimensional domain
under Dirichlet conditions with time-varying delay and internal friction dam** acting in the …