A nonlinear initial-value problem arising from kinetic theory of vehicular traffic

DOI10.1080/00411457808204618zbMath0408.90032OpenAlexW2132084949MaRDI QIDQ4196219

Aldo Belleni-Morante, E. Barone

Publication date: 1978

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

Full work available at URL: https://doi.org/10.1080/00411457808204618

zbMATH Keywords

Boltzmann EquationKinetic TheoryHighway TrafficNonlinear Initial-Value ProblemVehicular TrafficZ.389.90047

Mathematics Subject Classification ID

Rarefied gas flows, Boltzmann equation in fluid mechanics (76P05) Applications of operator algebras to the sciences (47L90) Traffic problems in operations research (90B20) Equations in function spaces; evolution equations (58D25)

Related Items (3)

Further remarks on a semi-linear problem arising from kinetic theory of vehicular traffic ⋮ Global solutions for a nonlinear initial value problem arising from the kinetic theory of vehicular traffic: existence, uniqueness and continuity with respect to initial data ⋮ An iteration method for a nonlinear initial value problem arising from the kinetic theory of vehicular traffic

Cites Work

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• Non-linear equations of evolution
• Non-linear semi-groups

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