Results 41 to 50 of about 62 (62)

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

open access: yesOpen Mathematics
In this study, we consider a viscoelastic Shear beam model with no rotary inertia. Specifically, we study ρ1φtt−κ(φx+ψ)x+(g∗φxx)(t)=0,−bψxx+κ(φx+ψ)=0,\begin{array}{rcl}{\rho }_{1}{\varphi }_{tt}-\kappa {\left({\varphi }_{x}+\psi )}_{x}+\left(g\ast ...
Al-Mahdi Adel M.
doaj   +1 more source

Decay rate of the solutions to the Cauchy problem of the Lord Shulman thermoelastic Timoshenko model with distributed delay

open access: yesDemonstratio Mathematica
In this study, we address a Cauchy problem within the context of the one-dimensional Timoshenko system, incorporating a distributed delay term. The heat conduction aspect is described by the Lord-Shulman theory.
Choucha Abdelbaki   +3 more
doaj   +1 more source

A memory-type thermoelastic laminated beam with structural damping and microtemperature effects: Well-posedness and general decay

open access: yesDemonstratio Mathematica
In previous work, Fayssal considered a thermoelastic laminated beam with structural damping, where the heat conduction is given by the classical Fourier’s law and acting on both the rotation angle and the transverse displacements established an ...
Derguine Mustafa   +2 more
doaj   +1 more source

Energy decay of a coupled system involving a biharmonic Schrödinger equation with an internal fractional damping

open access: yesDemonstratio Mathematica
In this work, we investigate the stabilization problem for coupled biharmonic Schrödinger equations with fractional internal damping. First, we establish that the system is well-posed using the semigroup theory of linear operators. Second, we demonstrate
Mtiri Foued   +3 more
doaj   +1 more source
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Analytic property of a coupled system of wave-plate type with thermal effect

Differential and Integral Equations, 2011
M L Santos
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Energy decay in piezoelectric systems

Applicable Analysis, 2009
M L Santos
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Exponential Decay of the Energy of a One-Dimensional Nonhomogeneous Medium

SIAM Journal on Control and Optimization, 1991
Jong Uhn Kim
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