A traffic flow model is discussed in the framework of the Kinetic Theory of Active Particles (KTAP). Each active particle is a vehicledriver pair characterized by a discrete velocity and by a driving ability. The systemevolves through non-linear interactions which are modeled by the so-called Tables of Games. An evolution equation is derived and a theorem of existence and uniqueness of the solution for a finite time is proved. The results of numerical simulations which are consistent with the results of experimental evidence, are also shown.
On the Well Posedness of the Initial Value Problem in a Kinetic Traffic Flow Model
BURINI, DILETTA;DE LILLO, Silvana;FIORITI, GIOIA
2016
Abstract
A traffic flow model is discussed in the framework of the Kinetic Theory of Active Particles (KTAP). Each active particle is a vehicledriver pair characterized by a discrete velocity and by a driving ability. The systemevolves through non-linear interactions which are modeled by the so-called Tables of Games. An evolution equation is derived and a theorem of existence and uniqueness of the solution for a finite time is proved. The results of numerical simulations which are consistent with the results of experimental evidence, are also shown.File in questo prodotto:
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