4 papers · 2 filters
Theory for Incompressible Limit of Reaction-Diffusion Porous Medium Flow with Linear Drift
Noureddine Igbida
Our aim is to study the limit of the solution of reaction-diffusion porous medium equation with linear drift , as…
Quasi-convex Hamilton--Jacobi equations via limits of Finsler -Laplace problems as
Hamza Ennaji, Noureddine Igbida, Van Thanh Nguyen
In this paper we show that the maximal viscosity solution of a class of quasi-convex Hamilton--Jacobi equations, coupled with inequality constraints on the boundary, can be recover…
-Theory for Hele-Shaw flow with linear drift
Noureddine Igbida
The main goal of this paper is to prove -comparison and contraction principles for weak solutions (in the sense of distributions) of Hele-Shaw flow with a linear Drift. The fl…
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…