Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment
Analysis of PDEs
2024-09-13 v1
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 . 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 .
Cite
@article{arxiv.2409.07593,
title = {Non-local dissipative Aw-Rascle model and its relation with Matrix-valued communication in Euler alignment},
author = {Nilasis Chaudhuri and Jan Peszek and Maja Szlenk and Ewelina Zatorska},
journal= {arXiv preprint arXiv:2409.07593},
year = {2024}
}