Persistence of generalized roll-waves under viscous perturbation
Analysis of PDEs
2010-05-02 v1
Abstract
The purpose of this article is to study the persistence of solution of a hyperbolic system under small viscous perturbation. Here, the solution of the hyperbolic system is supposed to be periodic: it is a periodic perturbation of a roll-wave. So, it has an infinity of shocks. The proof of the persistence is based on an expansion of the viscous solution and estimates on Green's functions.
Cite
@article{arxiv.1004.3459,
title = {Persistence of generalized roll-waves under viscous perturbation},
author = {Valérie Le Blanc},
journal= {arXiv preprint arXiv:1004.3459},
year = {2010}
}