32 citations · 72 across the 6 of their papers we have counts for
7 papers
A mathematical modelling of rheumatoid arthritis
Pascal Azerad, Oana Iosifescu, Andrea Parmeggiani +3
We developed a mathematical model to describe the inflammatory dynamics during arthritis development and resolution, focusing on the interaction between three key immune cell popul…
Numerical solution of the div-curl problem by finite element exterior calculus
Pascal Azerad, Marien-Lorenzo Hanot
We are interested in the numerical reconstruction of a vector field with prescribed divergence and curl in a general domain of R 3 or R 2 , not necessarily contractible. To this ai…
Finite difference approximations for a fractional diffusion/anti-diffusion equation
Pascal Azerad, Afaf Bouharguane
A class of finite difference schemes for solving a fractional anti-diffusive equation, recently proposed by Andrew C. Fowler to describe the dynamics of dunes, is considered. Their…
Simultaneous denoising and enhancement of signals by a fractal conservation law
Pascal Azerad, Afaf Bouharguane, Jean-François Crouzet
In this paper, a new filtering method is presented for simultaneous noise reduction and enhancement of signals using a fractal scalar conservation law which is simply the forward h…
Existence of travelling-wave solutions and local well-posedness of the Fowler equation
Borys Alvarez-Samaniego, Pascal Azerad
We study the existence of travelling-waves and local well-posedness in a subspace of for a nonlinear evolution equation recently proposed by Andrew C. Fowler to…
A non-monotone conservation law for dune morphodynamics
Nathaël Alibaud, Pascal Azerad, Damien Isèbe
We investigate a non-local non linear conservation law, first introduced by A.C. Fowler to describe morphodynamics of dunes, see \cite{Fow01, Fow02}. A remarkable feature is the vi…
On a stochastic partial differential equation with non-local diffusion
Pascal Azerad, Mohamed Mellouk
In this paper, we prove existence, uniqueness and regularity for a class of stochastic partial differential equations with a fractional Laplacian driven by a space-time white noise…