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arXiv · 2409.07593

Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment

Nilasis Chaudhuri·Jan Peszek·Maja Szlenk·Ewelina Zatorska
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Abstract

We compare the multi-dimensional generalisation of the Aw-Rascle model with the pressureless Euler-alignment system, in which the communication weight is matrix-valued. Our generalisation includes the velocity offset in the form of a gradient of a non-local density function, given by the convolution with a kernel $K$. We investigate connections between these models at the macroscopic, mesoscopic and macroscopic (hydrodynamic) level, and overview the results on the mean-field limit for various assumptions on $K$.

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Nilasis Chaudhuri, Jan Peszek, Maja Szlenk, Ewelina Zatorska. 2024-09-11. Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment. https://arxiv.org/abs/2409.07593

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