A derivation of the Aw–Rascle traffic models from Fokker–Planck type kinetic models
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Publication:3625434
DOI10.1090/S0033-569X-09-01075-7zbMath1163.35492MaRDI QIDQ3625434
Reinhard Illner, René Pinnau, C. Kirchner
Publication date: 5 May 2009
Published in: Quarterly of Applied Mathematics (Search for Journal in Brave)
Full work available at URL: http://www.ams.org/distribution/qam/2009-67-01/S0033-569X-09-01075-7/home.html
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Related Items (3)
A class of multi-phase traffic theories for microscopic kinetic and continuum traffic models ⋮ On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics ⋮ The Aw-Rascle traffic model: Enskog-type kinetic derivation and generalisations
Cites Work
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- Vlasov-Fokker-Planck models for multilane traffic flow
- The mathematical theory of dilute gases
- Moment closure hierarchies for kinetic theories.
- Qualitative Properties of Solutions to Systems of Fokker‐Planck Equations for Multilane Traffic Flow
- Kinetic Derivation of Macroscopic Anticipation Models for Vehicular Traffic
- Resurrection of "Second Order" Models of Traffic Flow
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