Analysis of the thermoviscoelastic Timoshenko system with diffusion effect
Mohammad Elhindi, Toufic El Arwadi · 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. An exponential decay is obtained by construction of the Lyapunov functional. Finally, a numerical study is done based on P1-finite element approximation for space discretization and implicit Euler scheme for time discretization, where we study the stability of the scheme, analysis of the error and obtained some numerical simulations.