Michael
Herty
Modeling and
Simulation of road intersections
We present recent results on the modeling and the
analysis of traffic flow models for road networks.
We consider scalar and systems of hyperbolic equations
for describing traffic on roads and discuss possibilities
of extending these models to road networks. The
arising problems are nonlinear hyperbolic boundary value
problems
and we present results on well-posedness for a large
class of models. We discuss how these models can be used
in optimal routing problems and present some
numerical results.
Talk