Spectral stability of weak relaxation shock profiles
Analysis of PDEs
2019-07-25 v1 Spectral Theory
Abstract
Using a combination of Kawashima- and Goodman-type energy estimates, we establish spectral stability of general small-amplitude relaxation shocks of symmetric dissipative systems. This extends previous results obtained by Plaza and Zumbrun by singular perturbation techniques under an additional technical assumption, namely, that the background equation be noncharacteristic with respect to the shock.
Cite
@article{arxiv.0803.0520,
title = {Spectral stability of weak relaxation shock profiles},
author = {Corrado Mascia and Kevin Zumbrun},
journal= {arXiv preprint arXiv:0803.0520},
year = {2019}
}