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Well-posedness theory of an inhomogeneous traffic flow model

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Publication:1599908
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DOI10.3934/dcdsb.2002.2.401zbMath1162.35415OpenAlexW2092412082MaRDI QIDQ1599908

Tong Li

Publication date: 6 June 2002

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2002.2.401


zbMATH Keywords

zero relaxation limitmarginally stable\(L^1\)-contractioninhomogeneous traffic flow model


Mathematics Subject Classification ID

Hyperbolic conservation laws (35L65) Traffic problems in operations research (90B20)


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Global solutions of nonconcave hyperbolic conservation laws with relaxation arising from traffic flow ⋮ ON A DIFFUSIVELY CORRECTED KINEMATIC-WAVE TRAFFIC FLOW MODEL WITH CHANGING ROAD SURFACE CONDITIONS ⋮ The zero relaxation limit for the Aw-Rascle-Zhang traffic flow model ⋮ Exponential stability of density-velocity systems with boundary conditions and source term for the \(H^2\) norm ⋮ Riemann solvers of a conserved high-order traffic flow model with discontinuous fluxes ⋮ Nonlinear dynamics of traffic jams



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