Traveling solutions for a multi-anticipative car-following traffic model
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Publication:5885749
DOI10.1051/mmnp/2023006OpenAlexW4320039989MaRDI QIDQ5885749
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Publication date: 4 April 2023
Published in: Mathematical Modelling of Natural Phenomena (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1051/mmnp/2023006
Shocks and related discontinuities in solid mechanics (74J40) Traffic problems in operations research (90B20) Viscosity solutions to PDEs (35D40)
Cites Work
- Existence and uniqueness of traveling waves for fully overdamped Frenkel-Kontorova models
- Homogenization of fully overdamped Frenkel-Kontorova models
- Traveling wave profiles for a follow-the-leader model for traffic flow with rough road condition
- Traveling waves for nonlocal models of traffic flow
- An Introduction to the Theory of Viscosity Solutions for First-Order Hamilton–Jacobi Equations and Applications
- Viscosity Solutions of Hamilton-Jacobi Equations
- User’s guide to viscosity solutions of second order partial differential equations
- Discrete shock profiles for systems of conservation laws
- Continuum shock profiles for discrete conservation laws I: Construction
- Discrete Shocks for Finite Difference Approximations to Scalar Conservation Laws
- Existence and Nonexistence of Semidiscrete Shocks for a Car-Following Model in Traffic Flow
- Shock Waves on the Highway
- Nonlinear Effects in the Dynamics of Car Following
- On kinematic waves II. A theory of traffic flow on long crowded roads
- Homogenization of a microscopic pedestrians model on a convergent junction
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