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 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 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 …

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 study nonlocal conservation laws with a discontinuous flux function of regularity L∞(R)
in the spatial variable and show existence and uniqueness of weak solutions in C ([0, T]; L1 …

We study a 1D scalar conservation law whose non-local flux has a single spatial
discontinuity. This model is intended to describe traffic flow on a road with rough conditions …

In this work we present a nonlocal conservation law with a velocity depending on an integral
term over a part of the space. The model class covers already existing models in literature …