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19992025
most citedNonlinear waves in networks: a simple approach using the sine-Gordon equation

42 citations

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Showing 2021Show all

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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.OC2021★ 1 cited

Conic nonholonomic constraints on surfaces and control systems

Timothée Schmoderer, Witold Respondek

This paper addresses the equivalence problem of conic submanifolds in the tangent bundle of a smooth 2-dimensional manifold. Those are given by a quadratic relation between the vel…

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…