Multilane analysis of a viscous second-order macroscopic traffic flow model
type: Item
instance of: scholarly article
title: Multilane analysis of a viscous second-order macroscopic traffic flow model
zbMATH Open document ID: 1465.35303
author: Gabriel Obed Fosu
author: Francis Tabi Oduro
author: Carlo Caligaris
published in: SN Partial Differential Equations and Applications
publication date: 2021-05-03T00:00:00Z
review text: This paper deals with a viscous second-order macroscopic model describing the dynamics of multilane traffic \[ k_t+(ku)_x=0,\quad u_t+uu_x=\frac{V(k)-u}{\tau}-\frac{\mu f_y}{k}u_y-\frac{c_\sigma^2}{k} k_x, \] where \(u\) is the average traffic speed, \(k\) is the traffic density, \(V(k)\) is the equilibrium speed defined by the fundamental relation, \(c_\sigma^2\) is the anticipation rate, \(f_y\) is the sensitivity function for lane changing, \(\mu\) is the viscosity coefficient, and \(\tau>0\) is the relaxation parameter.
Mathematics Subject Classification ID: 35L65
Mathematics Subject Classification ID: 65M06
Mathematics Subject Classification ID: 76L05
Mathematics Subject Classification ID: 90B20
zbMATH DE Number: 7341714
zbMATH Keywords: viscosity
zbMATH Keywords: multilane traffic
zbMATH Keywords: macroscopic model
zbMATH Keywords: speed-density profiles
reviewed by: Giuseppe Maria Coclite
MaRDI profile type: Publication
full work available at URL: s42985-020-00054-8
OpenAlex ID: W3120325565
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Wikidata QID: Q115370312
DOI: 10.1007/S42985-020-00054-8
description: scientific article; zbMATH DE number 7341714