On the Stability Functional for Conservation Laws
Analysis of PDEs
2007-12-04 v2
Abstract
This note is devoted to the explicit construction of a functional defined on all pairs of functions with small total variation, which is equivalent to the distance and non increasing along the trajectories of a given system of conservation laws. Two different constructions are provided, yielding an extension of the original stability functional by Bressan, Liu and Yang.
Keywords
Cite
@article{arxiv.0704.2491,
title = {On the Stability Functional for Conservation Laws},
author = {Rinaldo M. Colombo and Graziano Guerra},
journal= {arXiv preprint arXiv:0704.2491},
year = {2007}
}