N. Igbida

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20212026

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4 papers · 1 filter

math.AP2021

$L^{1} -$ 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 $\partial_{t} u - Δ u^{m} + \nabla \cdot (u V) = g (t, x, u)$ , as…

math.AP2021

Quasi-convex Hamilton--Jacobi equations via limits of Finsler $p$ -Laplace problems as $p \to \infty$

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…

math.AP2021

$L^{1}$ -Theory for Hele-Shaw flow with linear drift

Noureddine Igbida

The main goal of this paper is to prove $L^{1}$ -comparison and contraction principles for weak solutions (in the sense of distributions) of Hele-Shaw flow with a linear Drift. The fl…

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…

L1−Theory for Incompressible Limit of Reaction-Diffusion Porous Medium Flow with Linear Drift

Quasi-convex Hamilton--Jacobi equations via limits of Finsler p-Laplace problems as p→∞

L1-Theory for Hele-Shaw flow with linear drift

On a Mathematical model for traveling sand dune

$L^{1} -$ Theory for Incompressible Limit of Reaction-Diffusion Porous Medium Flow with Linear Drift

Quasi-convex Hamilton--Jacobi equations via limits of Finsler $p$ -Laplace problems as $p \to \infty$

$L^{1}$ -Theory for Hele-Shaw flow with linear drift