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

Demonstratio 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

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

Open 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

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

Demonstratio 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

Mathematical Model of COVID-19 Pandemic with Double Dose Vaccination. [PDF]