Stability estimates for non-local scalar conservation laws
Analysis of PDEs
2018-01-18 v1
Abstract
We prove the stability of entropy weak solutions of a class of scalar conservation laws with non-local flux arising in traffic modelling. We obtain an estimate of the dependence of the solution with respect to the kernel function, the speed and the initial datum. Stability is obtained from the entropy condition through doubling of variable technique. We finally provide some numerical simulations illustrating the dependencies above for some cost functionals derived from traffic flow applications.
Cite
@article{arxiv.1801.05587,
title = {Stability estimates for non-local scalar conservation laws},
author = {Felisia Angela Chiarello and Paola Goatin and Elena Rossi},
journal= {arXiv preprint arXiv:1801.05587},
year = {2018}
}