Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux
Analysis of PDEs
2023-01-30 v2
Abstract
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. We approximate the problem through an upwind-type numerical scheme and provide compactness estimates for the sequence of approximate solutions. Then, we prove the existence and the uniqueness of entropy weak solutions. Numerical simulations corroborate the theoretical results and the limit model as the kernel support tends to zero is numerically investigated.
Keywords
Cite
@article{arxiv.2103.13362,
title = {Existence of entropy weak solutions for 1D non-local traffic models with space-discontinuous flux},
author = {Felisia Angela Chiarello and Harold Deivi Contreras and Luis Miguel Villada},
journal= {arXiv preprint arXiv:2103.13362},
year = {2023}
}