16 citations · 45 across the 22 of their papers we have counts for
23 papers
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} \…
Damping Effects on Global Existence and Scattering for an Inhomogeneous NLS Equation with Inverse-Square Potential
Makram Hamouda, Mohamed Majdoub, Tarek Saanouni
This work explores the global existence and scattering behavior of solutions to a damped, inhomogeneous nonlinear Schrodinger equation featuring a time-dependent damping term, an i…
Physics-informed neural networks for Timoshenko system with Thermoelasticity
Sabrine Chebbi, Joseph Muthui Wacira, Makram Hamouda +1
The main focus of this paper is to analyze the behavior of a numerical solution of the Timoshenko system coupled with Thermoelasticity and incorporating second sound effects. In or…
Energy scattering for the unsteady damped nonlinear Schrodinger equation
Makram Hamouda, Mohamed Majdoub
We investigate the large time behavior of the solutions to the nonlinear focusing Schrödinger equation with a time-dependent damping in the energy sub-critical regime. Under non cl…
Existence and nonexistence of global solutions for time-dependent damped NLS equations
Makram Hamouda, Mohamed Majdoub
We investigate the Cauchy problem for the nonlinear Schrödinger equation with a time-dependent linear damping term. Under non standard assumptions on the loss dissipation, we prove…
Blow-up and lifespan estimate for the generalized tricomi equation with the scale-invariant damping and time derivative nonlinearity on exterior domain
Makram Hamouda, Mohamed Ali Hamza, Bouthaina Yousfi
The article is devoted to investigating the initial boundary value problem for the damped wave equation in the scale-invariant case with time-dependent speed of propagation on the…