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math.AP2026
-Estimates for Non-Linear Parabolic PDE with Linear Drift
El Mahdi Erraji, Noureddine Igbida, Fahd Karami +1
In the present work, we establish space Bounded Variation regularity of the solution for a non-linear parabolic partial differential equations involving a linear drift term.…
math.AP2025
Mathematical Study of Reaction-Diffusion in Congested Crowd Motion
Noureddine Igbida, Fahd Karami, Driss Meskine
This paper establishes existence, uniqueness, and an L^1-comparison principle for weak solutions of a PDE system modeling phase transition reaction-diffusion in congested crowd mot…
math.AP2021
On a Mathematical model for traveling sand dune
Noureddine Igbida, Fahd Karami, Driss Meskine
Our aim in this note is to introduce and study a mathematical model for the description of traveling sand dunes. We use surface flow process of sand under the effect of wind and gr…