The stability number of the Timoshenko system with second sound

ML Santos, DSA Júnior, JEM Rivera - Journal of Differential Equations, 2012 - Elsevier
In this work, we consider the Timoshenko beam model with second sound. We introduce a
new number χ0 that characterizes the exponential decay. We prove that the corresponding …

Stability of Timoshenko system coupled with thermal law of Gurtin-Pipkin affecting on shear force

D Hanni, B Feng, K Zennir - Applicable Analysis, 2022 - Taylor & Francis
In this paper, we consider a Timoshenko type system coupled with parabolic equation that
represents the thermal effect given by the Gurtin-Pipkin law while taking into account that the …

Decay property for the Timoshenko system with Fourier's type heat conduction

N Mori, S Kawashima - Journal of Hyperbolic Differential Equations, 2014 - World Scientific
We study the Timoshenko system with Fourier's type heat conduction in the one-dimensional
(whole) space. We observe that the dissipative structure of the system is of the regularity …

The Timoshenko system with history and Cattaneo law

LH Fatori, RN Monteiro, HDF Sare - Applied mathematics and computation, 2014 - Elsevier
In this paper we study a fully hyperbolic thermoelastic Timoshenko system with past history
where the thermal effects are given by Cattaneo's law. We obtain exponential stability of …

Decay property for the Timoshenko system with memory-type dissipation

Y Liu, S Kawashima - Mathematical Models and Methods in Applied …, 2012 - World Scientific
In this paper we consider the initial value problem for the Timoshenko system with a memory
term. We construct the fundamental solution by using the Fourier–Laplace transform and …

Global solution and asymptotic behaviour for a wave equation type p-Laplacian with memory

CA Raposo, AP Cattai… - Open Journal of …, 2018 - archives.articleproms.com
In this work we study the global solution, uniqueness and asymptotic behaviour of the
nonlinear equation utt–Δ pu= Δ u–g∗ Δ u where Δ pu is the nonlinear p-Laplacian operator …

[HTML][HTML] Dissipative structure and global existence in critical space for Timoshenko system of memory type

N Mori - Journal of Differential Equations, 2018 - Elsevier
In this paper, we consider the initial value problem for the Timoshenko system with a
memory term in one dimensional whole space. In the first place, we consider the linearized …

Global existence and asymptotic decay of solutions to the nonlinear Timoshenko system with memory

Y Liu, S Kawashima - Nonlinear Analysis: Theory, Methods & Applications, 2013 - Elsevier
In this paper we consider the initial-value problem for the nonlinear Timoshenko system with
a memory term. Due to the regularity-loss property and weak dissipation, we have to assume …

[HTML][HTML] Global existence and optimal decay rates for the Timoshenko system: the case of equal wave speeds

N Mori, J Xu, S Kawashima - Journal of Differential Equations, 2015 - Elsevier
We first show the global existence and optimal decay rates of solutions to the classical
Timoshenko system in the framework of Besov spaces. Due to the non-symmetric …

[HTML][HTML] Global existence and minimal decay regularity for the Timoshenko system: The case of non-equal wave speeds

J Xu, N Mori, S Kawashima - Journal of Differential Equations, 2015 - Elsevier
As a continued work of [18], we are concerned with the Timoshenko system in the case of
non-equal wave speeds, which admits the dissipative structure of regularity-loss. Firstly, with …