On the validity of Chapman-Enskog expansions for shock waves with small strength
Analysis of PDEs
2008-12-23 v1 Numerical Analysis
Abstract
We justify a Chapman-Enskog expansion for discontinuous solutions of hyperbolic conservation laws containing shock waves with small strength. Precisely, we establish pointwise uniform estimates for the difference between the traveling waves of a relaxation model and the traveling waves of the corresponding diffusive equations determined by a Chapman-Enskog expansion procedure to first- or second-order.
Keywords
Cite
@article{arxiv.0812.3985,
title = {On the validity of Chapman-Enskog expansions for shock waves with small strength},
author = {Nabil Bedjaoui and Christian Klingenberg and Philippe G. LeFloch},
journal= {arXiv preprint arXiv:0812.3985},
year = {2008}
}
Comments
18 pages