4 papers · 1 filter
Beyond uniqueness: Relaxation calculus of junction conditions for coercive Hamilton-Jacobi equations
Nicolas Forcadel, Regis Monneau
A junction is a particular network given by the collection of half lines glued together at the origin. On such a junction, we consider evolutive Hamilton-Jac…
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…
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…
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…