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

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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…