A first order model in traffic flow
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Publication:882312
DOI10.1016/j.physd.2007.03.003zbMath1115.90020OpenAlexW2034163286MaRDI QIDQ882312
Rosa María Velasco, Patricia Saavedra
Publication date: 23 May 2007
Published in: Physica D (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.physd.2007.03.003
KdV equations (Korteweg-de Vries equations) (35Q53) Traffic problems in operations research (90B20) Kinetic theory of gases in time-dependent statistical mechanics (82C40)
Related Items (4)
On kinetic theory methods in vehicular flow ⋮ Anisotropic Burgers equation with an anisotropic perturbation ⋮ An analytical solution for two and three dimensional nonlinear Burgers' equation ⋮ The generalized Kudryashov method for nonlinear space-time fractional partial differential equations of Burgers type
Cites Work
- Macroscopic transport equations for rarefied gas flows. Approximation methods in kinetic theory.
- Macroscopic models in traffic flow
- Growth and decay of shock and acceleration waves in a traffic flow model with relaxation
- Information Theory and Statistical Mechanics
- Shock Waves on the Highway
- On kinematic waves II. A theory of traffic flow on long crowded roads
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