Contractive metrics for scalar conservation laws
Analysis of PDEs
2013-09-19 v1
Abstract
We consider nondecreasing entropy solutions to 1-d scalar conservation laws and show that the spatial derivatives of such solutions satisfy a contraction property with respect to the Wasserstein distance of any order. This result extends the L^1-contraction property shown by Kruzkov.
Keywords
Cite
@article{arxiv.math/0504136,
title = {Contractive metrics for scalar conservation laws},
author = {F. Bolley and Y. Brenier and G. Loeper},
journal= {arXiv preprint arXiv:math/0504136},
year = {2013}
}