4 citations · 5 across the 4 of their papers we have counts for
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Regularity and singularity of the blow-up curve for a wave equation with a derivative nonlinearity and a scale-invariant damping
Ahmed Bchatnia, Makram Hamouda, Firas Kaabi +2
In this article, we investigate the blow-up behavior of solutions to the one-dimensional damped nonlinear wave equation, namely $$ \partial_t^2 u - \partial_x^2 u + \fracμ{1 + t} \…
Nonlinear damping effects for the 2D Mindlin-Timoshenko system
Ahmed Bchatnia, Sabrine Chebbi, Makram Hamouda
We study in this article the asymptotic behavior of the Mindlin-Timoshenko system subject to a nonlinear dissipation acting only on the equations of the rotation angles. First, we…
Lower Bound and optimality for a nonlinearly damped Timoshenko system with thermoelasticity
Ahmed Bchatnia, Sabrine chebbi, Makram Hamouda +1
In this paper, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We first investigate the strong stability of this system, then we devote…
General Decay in some Timoshenko-type systems with thermoelasticity second sound
M. A. Ayadi, A. Bchatnia, M. Hamouda +1
In this article, we consider a vibrating nonlinear Timoshenko system with thermoelasticity with second sound. We discuss the well-posedness and the regularity of Timoshenko solutio…