An iteration method for a nonlinear initial value problem arising from the kinetic theory of vehicular traffic

DOI10.1080/00411458008204629zbMath0489.35027OpenAlexW2046182482MaRDI QIDQ3950916

R. Semenzato

Publication date: 1980

Published in: Transport Theory and Statistical Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00411458008204629

zbMATH Keywords

iteration methodPaveri-Fontana modeldilute vehicular trafficnonlinear initial-value boundary problem

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Theoretical approximation in context of PDEs (35A35) Traffic problems in operations research (90B20) Boundary value problems for nonlinear first-order PDEs (35F30)

Cites Work

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• The Boltzmann equation. I. Uniqueness and local existence
• A nonlinear initial-value problem arising from kinetic theory of vehicular traffic

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