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Traffic on networks: modeling and analysis

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If you have a question about this talk, please contact Mustapha Amrani.

Free Boundary Problems and Related Topics

We are interested in the traffic of cars on a network, like for instance a city. We describe traffic using hamilton-Jacobi equations, and propose new general junction conditions that can be fully characterized. In the framework of viscosity solutions for discontinuous hamiltonians,we also prove a comparison principle. With this powerful tool in hands, we show how to homogenize the traffic on a whole network like a city.

This talk is part of the Isaac Newton Institute Seminar Series series.

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