32 citations · 55 across the 7 of their papers we have counts for
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math.NA2011
Splitting methods for the nonlocal Fowler equation
Afaf Bouharguane, Remi Carles
We consider a nonlocal scalar conservation law proposed by Andrew C. Fowler to describe the dynamics of dunes, and we develop a numerical procedure based on splitting methods to ap…
math.AP2011
Global-in-time existence of perturbations around travelling-waves
Afaf Bouharguane
We investigate a fractional diffusion/anti-diffusion equation proposed by Andrew C. Fowler to describe the dynamics of sand dunes sheared by a fluid flow. In this paper, we prove t…
math.AP2011★ 6 cited
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…