3 papers
math.AP2024
Limits of non-local approximations to the Eikonal equation on manifolds
Jalal M. Fadili, Nicolas Forcadel, Rita Zantout
In this paper, we consider a non-local approximation of the time-dependent Eikonal equation defined on a Riemannian manifold. We show that the local and the non-local problems are…
math.AP2020
Stochastic homogenization of Hamilton-Jacobi equations on a junction
Nicolas Forcadel, Fayad Rim, Ibrahim Hassan
We consider the specified stochastic homogenization of first order evolutive Hamilton-Jacobi equations on a very simple junction, i.e the real line with a junction at the origin. F…
math.AP2019
From heterogeneous microscopic traffic flow models to macroscopic models
Pierre Cardaliaguet, Nicolas Forcadel
The goal of this paper is to derive rigorously macroscopic traffic flow models from microscopic models. More precisely, for the microscopic models, we consider follow-the-leader ty…