 | Seminario Matematico e Fisico di Milano |
| Alberto Bressan
Penn State University
Modeling Traffic Flow
Giovedì 12 Giugno 2025, ore 15:30
aula U5-3014 del Dip. di Matematica e Applicazioni, Università Bicocca |
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Abstract
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The talk will survey various models of traffic flow, with particular focus on new mathematical problems arising from some of these models. A large literature is currently available on particle models, describing the position of every car in terms of a large number of ODEs, and macroscopic models, where the traffic density is determined by a PDE.
Vehicular traffic can also be analyzed from the point of view of decision theory. Indeed, daily traffic patterns arise as the outcome of the decisions of a large number of drivers, who choose their departure time and route to destination in an ``optimal" way. Some recent work and open problems will be discussed.
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