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math.AP2021
Microscopic derivation of a traffic flow model with a bifurcation
P Cardaliaguet, N Forcadel
The goal of the paper is a rigorous derivation of a macroscopic traffic flow model with a bifurcation or a local perturbation from a microscopic one. The microscopic model is a sim…
math.AP2021
Limits and consistency of non-local and graph approximations to the Eikonal equation
Jalal Fadili, Nicolas Forcadel, Thi Tuyen Nguyen +1
In this paper, we study a non-local approximation of the time-dependent (local) Eikonal equation with Dirichlet-type boundary conditions, where the kernel in the non-local problem…