In this work we present a rather general approach to approximate the solutions of nonlocal
conservation laws. In a first step, we approximate the nonlocal term with an appropriate …

We present a network formulation for a traffic flow model with nonlocal velocity in the flux
function. The modeling framework includes suitable coupling conditions at intersections to …

Using a nonlocal second-order traffic flow model we present an approach to control the
dynamics toward a steady state. The system is controlled by the leading vehicle driving at a …

We present a non-local version of a scalar balance law modeling traffic flow with on-ramps
and off-ramps. The source term is used to describe the traffic flow over the on-ramp and off …

In this article, we present the convergence analysis of a second-order numerical scheme for
traffic flow models that incorporate non-local conservation laws. We combine a MUSCL-type …

We propose and study a nonlocal system of balance laws, which models the traffic dynamics
on a two-lane and two-way road where drivers have a preferred lane (the lane on their right) …

The efficiency of (bio-) chemical products is predominantly determined by the process
conditions set during the synthesis. Throughout their production, the evolution of these …

Using a nonlocal macroscopic LWR‐type traffic flow model, we present an approach to
control the nonlocal velocity towards a given equilibrium velocity. Therefore, we present a …

Rational extended thermodynamics models are composed by a set of balance laws capable
of describing far-from-equilibrium thermodynamic phenomena for rarefied gases. Such …

In this thesis, we present so–called nonlocal traffic flow models which possess more
information about surrounding traffic. Such models become more and more important due to …