Global existence in reaction-diffusion systems with control of mass: a survey

M Pierre - Milan Journal of Mathematics, 2010 - Springer
The goal of this paper is to describe the state of the art on the question of global existence of
solutions to reaction-diffusion systems for which two main properties hold: on one hand, the …

Existence Result for Triangular Reaction—Diffusion Systems with L1 Data and Critical Growth with Respect to the Gradient

NE Alaa, M Salim - Mediterranean journal of mathematics, 2013 - Springer
Existence Result for Triangular Reaction–Diffusion Systems with L1 Data and Critical Growth with
Respect to the Gradient Page 1 Mediterr. J. Math. 10 (2013), 255–275 DOI …

[PDF][PDF] Mathematical analysis of a system modeling ions electro-migration through biological membranes

N Alaa, H Lefraich - Applied Mathematical Sciences, 2012 - m-hikari.com
In this work we present the mathematical analysis of a system modeling ion migration
through biological membranes. The model includes both the effects of biochemical reaction …

Criterion of positivity for semilinear problems with applications in biology

M Duprez, A Perasso - Positivity, 2017 - Springer
The goal of this article is to provide an useful criterion of positivity and well-posedness for a
wide range of infinite dimensional semilinear abstract Cauchy problems. This criterion is …

Mathematical study for an electrodeposition model using the topological degree

I El Malki, NE Alaa - Discrete and Continuous Dynamical Systems …, 2022 - aimsciences.org
Electrodeposition is a low-cost and malleable technique for manufacturing a wide diversity
of equipment and materials including coatings and films. It was initially operated to prepare …

[PDF][PDF] Gobal Existence for a Model of Nickel-Iron Alloy Electrodeposition on Rotating Disk Electrode in the Quadratic Case

N Alaa, N Idrissi - Applied Mathematical Sciences J, 2012 - researchgate.net
To better understand the nickel-iron electrodeposition process, we are interested in the one-
dimensional model. This model addresses dissociation, diffusion, electomigration …

Numerical Simulation of the anomalous electrodeposition of Nickel-Iron alloy on rotating disk electrode

I El Malki, NE Alaa, H Khalfi - Journal of Physics: Conference …, 2021 - iopscience.iop.org
Electrodeposition was originally used for the preparation of metallic mirrors and corrosion
resistant surfaces. In this paper, we study a stationary one dimensional system modelling …

[PDF][PDF] Existence of solutions for quasilinear elliptic degenerate systems with L1 data and nonlinearity in the gradient

A Mouida, N Alaa, S Mesbahi… - Electronic Journal of …, 2013 - academia.edu
EXISTENCE OF SOLUTIONS FOR QUASILINEAR ELLIPTIC DEGENERATE SYSTEMS WITH
L1 DATA AND NONLINEARITY IN THE GRADIENT 1. Introduction Page 1 Electronic Journal …

[PDF][PDF] Contribution to the Mathematical Analysis of a Class of Reaction Diffusion Systems with Irregular Data

A Fatima - researchgate.net
The aim of this thesis is mainly concerned with the nonlinear partial equations and systems.
The study of Partial Differential Equations and systems has its origin in the eighteenth …

Global existence of solutions for a system modelling electromigration of ions through biological cell membranes with L1 data

N Alaa, F Aqel - European Journal of Pure and Applied Mathematics, 2017 - ejpam.com
The aim of this work is to show the existence of weak solutions and supersolutions for a
nonlinear system modelling Ions migration through biological cells membranes with L1 …