Nils Henrik Risebro: Conservation laws and traffic models
Speaker: Nils Henrik Risebro (UiO)
Title: Conservation laws and traffic models
Abstract: We consider discrete and continuous models for car traffic on one-way roads. First we describe Braess’ paradox, and how it can manifest itself in models describinig networks of roads.
Then we shall explain how the standard discrete and the continuum models are related.
Finally, we present a new model for roads with many lanes. As the number of lanes increases, solutions of the many-lane models will converge to the solution of a degenerate convection-diffusion equation.
All of this pertains to joint work with Helge Holden.