Critical thresholds in a relaxation system with resonance of characteristic speeds

DOI10.3934/DCDS.2009.24.511zbMath1171.35428OpenAlexW2136413115MaRDI QIDQ1020610

Tong Li, Hai-liang Liu

Publication date: 29 May 2009

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

Full work available at URL: https://doi.org/10.3934/dcds.2009.24.511

zbMATH Keywords

singularity formationglobal regularitytraffic flowcritical thresholdquasilinear relaxation model

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) First-order nonlinear hyperbolic equations (35L60) A priori estimates in context of PDEs (35B45) Dependence of solutions to PDEs on initial and/or boundary data and/or on parameters of PDEs (35B30) Traffic problems in operations research (90B20) Initial value problems for first-order hyperbolic systems (35L45)

Related Items (4)

Analysis of non-isentropic compressible Euler equations with relaxation ⋮ Well-posedness and critical thresholds in a nonlocal Euler system with relaxation ⋮ Critical thresholds in hyperbolic relaxation systems ⋮ Sharp critical thresholds in a hyperbolic system with relaxation

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