The initial boundary value problem for second order traffic flow models with vacuum: existence of entropy weak solutions

DOI10.1016/j.na.2023.113295zbMath1522.35332OpenAlexW4307651991MaRDI QIDQ6107070

Alexandra Würth, Paola Goatin

Publication date: 3 July 2023

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.2023.113295

zbMATH Keywords

hyperbolic systems of conservation lawsmacroscopic traffic flow modelswave-front trackingweak boundary conditions

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20) Initial-boundary value problems for first-order hyperbolic systems (35L50)

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