On the Stability of the Cauchy Problem of Timoshenko Thermoelastic Systems with Past History: Cattaneo and Fourier Law [PDF]
arXiv, 2018 In this paper, we investigate the decay properties of the thermoelastic Timoshenko system with past history in the whole space where the thermal effects are given by Cattaneo and Fourier laws. We obtain that both systems, Timoshenko-Fourier and Timoshenko-Cattaneo, have the same rate of decay $(1 + t)^{-1/8}$ and satisfy the regularity-loss type ...
arxiv
Analysis of the thermoviscoelastic Timoshenko system with diffusion effect
Partial Differential Equations in Applied Mathematics, 2021 This paper is concerned with a new Timoshenko beam model with thermal, mass diffusion and viscoelastic effects. First, by the C0-semigroup theory, we prove the well posedness of the considered problem with Dirichlet boundary conditions.
M. Elhindi, T. EL Arwadi
doaj
Boletim da Sociedade Paranaense de MatemáticaIn this paper, we investigate a Bresse-Timoshenko-type system with a distributed delay term and second sound. Under suitable assumptions, we establish the global well-posedness of the initial and boundary value problem by using the Faedo-Galerkin ...
Islah Atmania +3 more
doaj +1 more source
Singular limit and long-time dynamics of Bresse systems [PDF]
arXiv, 2015 The Bresse system is a valid model for arched beams which reduces to the classical Timoshenko system when the arch curvature $\ell=0$. Our first result shows the Timoshenko system as a singular limit of the Bresse system as $\ell \to 0$. The remaining results are concerned with the long-time dynamics of Bresse systems.
arxiv
Energy decay in a Timoshenko-type system with history in thermoelasticity of type III [PDF]
, 2009 Salim A. Messaoudi +1 more
openalex +1 more source
Uniform stabilization for the Timoshenko beam by a locally distributed damping
Electronic Journal of Differential Equations, 2003 We study the uniform stabilization of a Timoshenko beam by one control force. We prove that under, one locally distributed damping, the exponential stability for this system is assured if and only if the wave speeds are the ...
Abdelaziz Soufyane, Ali Wehbe
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Global existence and optimal decay rates for the Timoshenko system: the case of equal wave speeds [PDF]
J. Differential Equations, 258(5), 1494-1518, 2015, 2014 This work first gives the global existence and optimal decay rates of solutions to the classical Timoshenko system on the framework of Besov spaces. Due to the \textit{non-symmetric} dissipation, the general theory for dissipative hyperbolic systems ([30]) can not be applied to the Timoshenko system directly.
arxiv
Free vibration analysis of Timoshenko pipes with fixed boundary conditions conveying high velocity fluid. [PDF]
Heliyon, 2023 Tan X, Tang YQ.
europepmc +1 more source
Timoshenko systems with memory in external force [PDF]
Applied Mathematical Sciences, 2019 S.E. Isayeva, N.A. Rzayeva
openaire +1 more source
Wave propagation characteristics in nanoporous metal foam nanobeams
Results in Physics, 2019 This research is devoted to the wave propagation characteristics analysis of nanobeams made of nanoporous metal foams. Three nanoporosity distribution models, namely, symmetry, asymmetry and uniform distributions, are taken into account.
Yan Qing Wang, Chen Liang
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