In this contribution we give a short overview of recent advances in nonlocal conservation
laws. In these equations, we assume that the flux f is decomposable into f (x)= V (x) x, x∈ R …

We give an overview of mathematical traffic flow models with non-local velocity. More
precisely, we consider conservation laws with flux functions depending on an integral …

We consider a conservation law model of traffic flow, where the velocity of each car depends
on a weighted average of the traffic density ρ ρ ahead. The averaging kernel is of …

We deal with the problem of approximating a scalar conservation law by a conservation law
with nonlocal flux. As convolution kernel in the nonlocal flux, we consider an exponential …

We introduce a Follow-the-Leader approximation of a nonlocal generalized Aw--Rascle--
Zhang (GARZ) model for traffic flow. We prove the convergence to weak solutions of the …

We consider a system of nonlocal balance laws where each balance law is coupled with the
remaining balance laws both by a nonlocal velocity function that takes into account the …

In this article, we discuss the error analysis for a certain class of monotone finite volume
schemes approximating nonlocal scalar conservation laws, modeling traffic flow and crowd …

We consider conservation laws with nonlocal velocity and show, for nonlocal weights of
exponential type, that the unique solutions converge in a weak or strong sense (dependent …

We present a model for a class of non-local conservation laws arising in traffic flow
modelling at road junctions. Instead of a single velocity function for the whole road, we …

We consider several non-local models for traffic flow, including both microscopic ODE
models and macroscopic PDE models. The ODE models describe the movement of …