27 citations · 56 across the 37 of their papers we have counts for
42 papers
Confinement effects for semilinear fractional Hermite heat equations with nonlinearities of arbitrarily rapid growth
Divyang G. Bhimani, Mohamed Majdoub, Ramesh Manna
We study the Cauchy problem for a semilinear heat equation driven by the fractional harmonic oscillator. We establish local and global well-posedness in Orlicz and Morse--Transue s…
Well-Posedness of a Coupled Brinkman--Biofilm--Nutrient System with Volume-Fraction Constraints
Azhar Alhammali, Mohamed Majdoub
We investigate a coupled system of partial differential equations modeling the interaction between Brinkman flow, biofilm evolution, and nutrient transport in a porous medium. The…
Fujita-type blow-up for inhomogeneous semilinear heat equations with regularly varying forcing
Vishvesh Kumar, Mohamed Majdoub
We develop a unified framework for Fujita-type blow-up of solutions to the inhomogeneous semilinear heat equation $$\partial_tu-Δu=|u|^p+\mathbf{w}(x), \qquad (t,x)\in(0,\infty)\ti…
On the Fujita Phenomenon for a Forced Spatio-Temporal Fractional Diffusion Equation
Rihab Ben Belgacem, Mohamed Majdoub
We investigate the Cauchy problem for a semilinear spatio--temporal fractional diffusion equation with a time-dependent forcing term: \[ \partial_t^αu + (-Δ)^{\mathsf{s}} u = |u|^p…
Fujita Phenomenon for a Mixed Local-Nonlocal Hardy-Hénon Equation with Regularly Varying Time Weights
Rihab Ben Belgacem, Mohamed Majdoub
We investigate the Cauchy problem for a semilinear parabolic equation driven by a mixed local-nonlocal diffusion operator of the form \[ \partial_t u - (Δ- (-Δ)^{\mathsf{s}})u = \m…
On the Nonexistence of Global Solutions for Nonlocal Parabolic Equations with Forcing Terms
Rihab Ben Belgacem, Mohamed Majdoub
The purpose of this work is to analyze the well-posedness and blow-up behavior of solutions to the nonlocal semilinear parabolic equation with a forcing term: \[ \partial_t u - Δu…