Asymptotic stability of scalar multi-D inviscid shock waves
Analysis of PDEs
2021-03-18 v1
Abstract
In several space dimensions, scalar shock waves between two constant states u are not necessarily planar. We describe them in detail. Then we prove their asymptotic stability, assuming that they are uniformly non-characteristic. Our result is conditional for a general flux, while unconditional for the multi-D Burgers equation.
Keywords
Cite
@article{arxiv.2103.09615,
title = {Asymptotic stability of scalar multi-D inviscid shock waves},
author = {Denis Serre},
journal= {arXiv preprint arXiv:2103.09615},
year = {2021}
}