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Measure-valued solutions to the generalized Aw-Rascle system

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FKTW03 - Frontiers in kinetic equations for plasmas and collective behaviour

A way to generalise the one-dimensional Aw-Rascle system of traffic to multi-dimensional setting, is to replace the scalar cost function with a gradient of a scalar function. We prove that for such system the measure-valued solutions exist globally in time. We also show that these solutions possess the weak-strong uniqueness property, meaning that they coincide with the strong solutions as long as the latter one exist.

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

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