@article{Chiarello2022, 
author = {Felisia Angela Chiarello and Harold Deivi Contreras and Luis Miguel Villada},
title = {Nonlocal reaction traffic flow model with on-off ramps},
year = {2022},
journal = {Networks and Heterogeneous Media},
volume = {17},
number = {2},
pages = {203-226},
keywords = {Lighthill-Whitham-Richards traffic model, nonlocal conservation laws, ramps, upwind scheme, well-posedness},
url = {https://www.sciopen.com/article/10.3934/nhm.2022003},
doi = {10.3934/nhm.2022003},
abstract = {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 inflow and output flow over the on-ramp and off-ramps respectively. We approximate the problem using an upwind-type numerical scheme and we provide              L              ∞             and        B    V   estimates for the sequence of approximate solutions. Together with a discrete entropy inequality, we also show the well-posedness of the considered class of scalar balance laws. Some numerical simulations illustrate the behaviour of solutions in sample cases.}
}