Global well posedness of traffic flow models with phase transitions

DOI10.1016/j.na.2006.03.029zbMath1113.35123OpenAlexW2130669101MaRDI QIDQ878519

Paola Goatin, Rinaldo M. Colombo, Fabio S. Priuli

Publication date: 26 April 2007

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.03.029

zbMATH Keywords

phase transitionshyperbolic conservation lawswell posednesscontinuum traffic models

Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (12)

On the initial boundary value problem for Temple systems ⋮ The Godunov method for a 2-phase model ⋮ A macroscopic traffic model with phase transitions and local point constraints on the flow ⋮ Traffic flow models with phase transitions ⋮ Macroscopic traffic flow modelling: from kinematic waves to autonomous vehicles ⋮ Free-congested and micro-macro descriptions of traffic flow ⋮ An existence result for a constrained two-phase transition model with metastable phase for vehicular traffic ⋮ Phase transition model for traffic at a junction ⋮ Well posedness for multilane traffic models ⋮ ROAD NETWORKS WITH PHASE TRANSITIONS ⋮ Entropy solutions for a two-phase transition model for vehicular traffic with metastable phase and time depending point constraint on the density flow ⋮ A Heterogeneous Multiclass Traffic Flow Model with Creeping

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