Geometric singular perturbation approach to the existence and instability of stationary waves for viscous traffic flow models

DOI10.3934/CPAA.2013.12.1501zbMath1264.35252OpenAlexW2323833545MaRDI QIDQ1948403

Cheng-Hsiung Hsu, Tzi-Sheng Yang, Bo-Chih Huang, John M. Hong

Publication date: 6 May 2013

Published in: Communications on Pure and Applied Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/cpaa.2013.12.1501

zbMATH Keywords

center manifold reductiondiscontinuous transonic wavessupersonic smooth stationary waves

Mathematics Subject Classification ID

Shocks and singularities for hyperbolic equations (35L67) Reliability, availability, maintenance, inspection in operations research (90B25) Singular perturbations in context of PDEs (35B25) Hyperbolic conservation laws (35L65) Singular perturbations, turning point theory, WKB methods for ordinary differential equations (34E20) Invariant manifold theory for dynamical systems (37D10) Singular nonlinear boundary value problems for ordinary differential equations (34B16) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

Related Items (2)

Fast-slow dynamics for intraguild predation models with evolutionary effects ⋮ Existence and instability of traveling pulses of Keller–Segel system with nonlinear chemical gradients and small diffusions

This page was built for publication: Geometric singular perturbation approach to the existence and instability of stationary waves for viscous traffic flow models