2 papers
math.AP2026
Convergence Analysis of a Finite-Volume Scheme for a Microglia--Amyloid Chemotaxis Model with Measure-Valued Vascular Boundary Sources
Elmahdi Erraji
We study a parabolic-parabolic chemotaxis system motivated by microglial recruitment toward an amyloid--associated signal in Alzheimer's disease. The signal is subject to a nonn…
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.…