An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations

DOI10.1016/S0895-7177(02)80023-1zbMath0994.90022MaRDI QIDQ1609491

Axel Klar, Marco Guenther, Thorsten Materne, Raimund Wegener

Publication date: 15 August 2002

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

zbMATH Keywords

traffic flowkinetic derivation

Mathematics Subject Classification ID

Transportation, logistics and supply chain management (90B06) First-order nonlinear hyperbolic equations (35L60) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)

Related Items (6)

MATHEMATICAL MODELING OF VEHICULAR TRAFFIC: A DISCRETE KINETIC THEORY APPROACH ⋮ KINETIC EQUILIBRIA IN TRAFFIC FLOW MODELS ⋮ A mixed finite element method for modeling the fluid exchange between microcirculation and tissue interstitium ⋮ Asymptotic limits of a discrete kinetic theory model of vehicular traffic ⋮ The modelling of political dynamics by generalized kinetic (Boltzmann) models. ⋮ A fully-discrete-state kinetic theory approach to traffic flow on road networks

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Enskog-like kinetic models for vehicular traffic
• A kinetic model for vehicular traffic: Existence of stationary solutions
• A Hierarchy of Models for Multilane Vehicular Traffic I: Modeling
• A kinetic model of vehicular traffic and its associated bimodal equilibrium solutions
• Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic
• Resurrection of "Second Order" Models of Traffic Flow

This page was built for publication: An explicitly solvable kinetic model for vehicular traffic and associated macroscopic equations