Edriss Titi, University of Cambridge; Texas A&M University; The Weizmann Institute of Science Recent Advances Concerning the Navier-Stokes and Euler Equations Venerdì 16 Ottobre 2026, ore 15:00 Aula Consiglio, 7° piano | |
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Sorin Popa, UCLA Structure and randomness in II_1 factors Lunedì 29 Giugno 2026, ore 16:30 Aula Rogers Via Andrea Maria Ampère, 10, 20131 Milano MI | |
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Rupert Frank, LMU Munchen, Mathematics Institute The liquid drop model Martedì 09 Giugno 2026, ore 16:30 Dipartimento di Matematica, Aula Consiglio, 7° piano | |
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Marcel Guardia, Universitat de Barcelona Unstable motions in Celestial Mechanics Mercoledì 04 Marzo 2026, ore 14:30 aula C03 - Via Mangiagalli 25 - Università degli Studi di Milano | |
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Luigi Ambrosio, SNS Pisa Well posedness of ODE's for nonsmooth velocities and in non Euclidean ambient spaces: a survey Mercoledì 28 Gennaio 2026, ore 14:00 aula U6-30, Dipartimento di Matematica e Applicazioni - Università Milano - Bicocca | |
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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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