1 citations · 1 across the 8 of their papers we have counts for
9 papers
Normalized ground states and a mass-constrained scattering threshold for the inhomogeneous NLS with an inverse-square potential
Mohamed Majdoub, Tarek Saanouni
We study the focusing inhomogeneous nonlinear Schrödinger equation with an inverse-square potential $$ i\partial_t u+Δu-a|x|^{-2}u+|x|^{-b}|u|^αu=0, \qquad (t,x)\in\mathbb{R}\times…
Global existence and optimal decay for a three-dimensional penalized Navier--Stokes system with biharmonic damping
Kabiru Michael Adeyemo, Mohamed Majdoub, Subha Pal
We investigate a three-dimensional parabolic system that arises as a hyperviscous and penalized approximation of the incompressible Navier--Stokes equations. The model combines thr…
Normalized Standing Waves for the Focusing Inhomogeneous Schrödinger Equation with Spatially Growing Nonlinearity
Mohamed Majdoub, Tarek Saanouni
We study the focusing inhomogeneous nonlinear Schrödinger equation with and .…
Damping Effects on Global Existence and Scattering for an Inhomogeneous NLS Equation with Inverse-Square Potential
Makram Hamouda, Mohamed Majdoub, Tarek Saanouni
This work explores the global existence and scattering behavior of solutions to a damped, inhomogeneous nonlinear Schrodinger equation featuring a time-dependent damping term, an i…
Well-posedness and linearization for a semilinear wave equation with spatially growing nonlinearity
Dhouha Draouil, Mohamed Majdoub
We study the initial value problem for a defocusing semi-linear wave equation with spatially growing nonlinearity. By employing Moser-Trudinger type inequalities and Strichartz est…
The lifespan of solutions of semilinear wave equation with weighted nonlinearity
Lulwah Al-Essa, Mohamed Majdoub
We investigate the lifespan of solutions to a specific variant of the semilinear wave equation, which incorporates weighted nonlinearity $$ u_{tt}-u_{xx} =|x|^α|u|^p, \quad\mbox{fo…
Non-radial Blow-up for a mass-critical fourth-order inhomogeneous nonlinear Schrödinger equation
Ruobing Bai, Mohamed Majdoub, Tarek Saanouni
We investigate the blow-up for a fourth-order Schrödinger equation with a mas-critical focusing inhomogeneous nonlinearity. We prove the finite/infinite-time blow-up of non-radial…
An inhomogeneous nonlinear parabolic equation with concave nonlinearity
Miguel Loayza, Mohamed Majdoub
We establish both the existence and uniqueness of non-negative global solutions for the nonlinear heat equation , , in the whole space $\mathbb{R…
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…