An Evans function approach to spectral stability of small-amplitude shock profiles
Analysis of PDEs
2007-05-23 v3
Abstract
We establish one-dimensional spectral stability of small amplitude viscous and relaxation shock profiles using Evans function techniques to perform a series of reductions and normal forms to reduce to the case of the scalar Burgers equation. In multidimensions, the canonical behavior is described, rather by a 2x2 viscous conservation law; this case will be treated in a companion paper by similar techniques.
Cite
@article{arxiv.math/0205180,
title = {An Evans function approach to spectral stability of small-amplitude shock profiles},
author = {Ramon Plaza and Kevin Zumbrun},
journal= {arXiv preprint arXiv:math/0205180},
year = {2007}
}
Comments
47 pp Minor typos corrected from original version of May 15