Global solution to the Cauchy problem for discrete velocity models of vehicular traffic

DOI10.1016/J.JDE.2011.09.005zbMath1230.35056OpenAlexW2056459320MaRDI QIDQ652481

Abdelghani Bellouquid, Nicola Bellomo

Publication date: 14 December 2011

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2011.09.005

zbMATH Keywords

Cauchy problemnonlinearityhyperbolic equationstochastic gamestraffic flowkinetic theory for active particles

Mathematics Subject Classification ID

Traffic problems in operations research (90B20) Initial value problems for second-order hyperbolic equations (35L15) PDEs in connection with game theory, economics, social and behavioral sciences (35Q91)

Related Items (4)

On the initial value problem for a class of discrete velocity models ⋮ Onset of nonlinearity in thermostatted active particles models for complex systems ⋮ On the multiscale modeling of vehicular traffic: from kinetic to hydrodynamics ⋮ Discrete kinetic theory for 2D modeling of a moving crowd: application to the evacuation of a non-connected bounded domain

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