6533b827fe1ef96bd128713a
RESEARCH PRODUCT
Boundary value steady solutions of a class of hydrodynamic models for vehicular traffic flow
Nicola BellomoMaria Letizia Bertottisubject
Cauchy problemMathematical optimizationPartial differential equationSteady stateDifferential equationClosure (topology)Traffic flowComputer Science ApplicationsMicroscopic traffic flow modelModelling and SimulationModeling and SimulationApplied mathematicsBoundary value problemMathematicsdescription
This paper deals with the solution of a boundary value problem related to a steady nonuniform description of a class of traffic flow models. The models are obtained by the closure of the mass conservation equation with a phenomenological relation linking the local mass velocity to the local density. The analysis is addressed to define the proper framework toward the identification of the parameter characterizing the model. The last part of the paper develops a critical analysis also addressed to the design of new traffic flow models.
year | journal | country | edition | language |
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2003-08-01 | Mathematical and Computer Modelling |