Recent results on the singular local limit for nonlocal conservation laws
Analysis of PDEs
2019-02-20 v1
Abstract
We provide an informal overview of recent developments concerning the singular local limit of nonlocal conservation laws. In particular, we discuss some counterexamples to convergence and we highlight the role of numerical viscosity in the numerical investigation of the nonlocal-to-local limit. We also state some open questions and describe recent related progress.
Keywords
Cite
@article{arxiv.1902.06970,
title = {Recent results on the singular local limit for nonlocal conservation laws},
author = {Maria Colombo and Gianluca Crippa and Marie Graff and Laura V. Spinolo},
journal= {arXiv preprint arXiv:1902.06970},
year = {2019}
}
Comments
Proceeding of the "XVII International Conference on Hyperbolic Problems: Theory, Numerics, Applications."