62 citations · 316 across the 26 of their papers we have counts for
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math.AP2023
A non-local traffic flow model for 1-to-1 junctions with buffer
F. A. Chiarello, J. Friedrich, S. GÖttlich
Inthispaper,weintroduceanon-localPDE-ODEtrafficmodeldevotedtothedescriptionof a 1-to-1 junction with buffer. We present an existence result in the free flow case as well as a numer…
math.AP2023★ 1 cited
Conservation laws with nonlocality in density and velocity and their applicability in traffic flow modelling
Jan Friedrich, Simone Göttlich, Alexander Keimer +1
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 litera…