Analysis of the thermoviscoelastic Timoshenko system with diffusion effect

Partial Differential Equations in Applied Mathematics

T. EL Arwadi¹  M. Elhindi² 

[1] Department of Mathematics and Computer Science, Faculty of Science, Beirut Arab University, Beirut, Lebanon;Corresponding author.;

关键词: Timoshenko type systems;    Thermodiffusion effects;    Well-posedness;    Stability;    Numerical results;    Error;   

DOI  :  

来源: DOAJ

【 摘 要 】

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.

【 授权许可】

Unknown