Papers by choucha abdelbaki
Rendiconti del Circolo Matematico di Palermo Series 2, 2021
Bresse-Timoshenko beam model with thermal, mass diffusion and theormoelastic effects is studied. ... more Bresse-Timoshenko beam model with thermal, mass diffusion and theormoelastic effects is studied. We state and prove the well-posedness of problem. The global existence and uniqueness of the solution is proved by using the classical Faedo-Galerkin approximations along with two a priori estimates. We prove an exponential stability estimate for problem under an unusual assumption, and by using a multiplier technique in two different cases, with frictional damping in the angular rotation and with frictional damping in the vertical displacement. In numerical parts, we first obtained a numerical scheme for problem by P 1-finite element method for space discretization and implicit Euler scheme for time discretization. Then, we showed that the discrete energy decays, later a priori error estimates are established. Finally , some numerical simulations are presented.
Open Journal of Mathematical Analysis, 2020
In this work, we are concerned with a problem for a viscoelastic wave equation with strong dampin... more In this work, we are concerned with a problem for a viscoelastic wave equation with strong damping, nonlinear source and distributed delay terms. We show the exponential growth of solution with L p-norm, i.e., lim t→∞ u p p → ∞.
International Journal of Research, 2016
In this work, we will use the method of decompositional for Adomian solve the Riccati equation in... more In this work, we will use the method of decompositional for Adomian solve the Riccati equation in the form: 𝒖 ′ = 𝒂(𝒕) + 𝒃(𝒕)𝒖 + 𝒄(𝒕)𝒖 𝟐 (𝟏)
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Papers by choucha abdelbaki