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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…
math.AP2019
Weak KAM theory for potential MFG
Pierre Cardaliaguet, Marco Masoero
We develop the counterpart of weak KAM theory for potential mean field games. This allows to describe the long time behavior of time-dependent potential mean field game systems. Ou…