Kinetic derivation of a Hamilton-Jacobi traffic flow model
Numerical Analysis
2015-03-13 v1
Abstract
Kinetic models for vehicular traffic are reviewed and considered from the point of view of deriving macroscopic equations. A derivation of the associated macroscopic traffic flow equations leads to different types of equations: in certain situations modified Aw-Rascle equations are obtained. On the other hand, for several choices of kinetic parameters new Hamilton-Jacobi type traffic equations are found. Associated microscopic models are discussed and numerical experiments are presented discussing several situations for highway traffic and comparing the different models.
Keywords
Cite
@article{arxiv.1202.5186,
title = {Kinetic derivation of a Hamilton-Jacobi traffic flow model},
author = {Raul Borsche and Axel Klar and Mark Kimathi},
journal= {arXiv preprint arXiv:1202.5186},
year = {2015}
}