@article{Chiarello2023, 
author = {Felisia Angela Chiarello and Giuseppe Maria Coclite},
title = {Nonlocal scalar conservation laws with discontinuous flux},
year = {2023},
journal = {Networks and Heterogeneous Media},
volume = {18},
number = {1},
pages = {380-398},
keywords = {conservation laws, entropy solutions, discontinuous flux, nonlocal problem},
url = {https://www.sciopen.com/article/10.3934/nhm.2023015},
doi = {10.3934/nhm.2023015},
abstract = {We prove the well-posedness of entropy weak solutions for a class of space-discontinuous scalar conservation laws with nonlocal flux. We approximate the problem adding a viscosity term and we provide                                L                    ∞       and BV estimates for the approximate solutions. We use the doubling of variable technique to prove the stability with respect to the initial data from the entropy condition.}
}