Orbital stability of undercompressive viscous shock waves under $L^1\cap H^4$ perturbation
Analysis of PDEs
2025-02-03 v1
Abstract
By the use of a new vertical estimate introduced by the authors in the context of relaxation shocks for shallow water flow, we both simplify and extend the basic stability results of Mascia and Zumbrun for viscous shock waves, in particular extending their results for Lax waves to the undercompressive case.
Keywords
Cite
@article{arxiv.2501.18789,
title = {Orbital stability of undercompressive viscous shock waves under $L^1\cap H^4$ perturbation},
author = {Zhao Yang and Kevin Zumbrun},
journal= {arXiv preprint arXiv:2501.18789},
year = {2025}
}