Applied Mathematics Seminar | Khai T. Nguyen, Conservation laws and some applications to traffic flowsExport this event to calendar

Thursday, February 12, 2015 — 2:30 PM EST

MC 5417 {Old numbering MC 5136A}

Speaker

Dr. Khai T. Nguyen
Department of Mathematics, Penn State University, USA

Title

Conservation laws and some applications to traffic flows

Abstract

  In this talk, I will introduce a new class of models of traffic flow on a network of roads. In these models, the percentage of drivers who travel along an incoming road and wish to turn into an outgoing road is not a constant. Moreover, the drivers who enter a congested road are placed in a buffer of limited capacity, waiting their turn in line. The main goal is to describe traffic flow at intersections and study an optimization problem on a network of roads. 
 
I will present our results on well-posedness and robustness of the equations for a large class of initial data, and the existence of globally optimal solutions, Nash equilibrium solutions for a decision problem involving a continuum of drivers on the network.

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