Oscillating Shock Profiles in Relativistic Fluid Dynamics
Analysis of PDEs
2023-01-30 v1 Mathematical Physics
math.MP
Fluid Dynamics
Abstract
This note studies a model for relativistic pure-radiation fluids with viscosity that was recently proposed by Bemfica, Disconzi and Noronha, and shows that there are shock waves whose continuous shock profiles, if existing, are oscillating in any variables. This behavior differs significantly from the situation in classical fluid dynamics, in which canonical state variables are monotone along the shock profile.
Cite
@article{arxiv.2301.11743,
title = {Oscillating Shock Profiles in Relativistic Fluid Dynamics},
author = {Valentin Pellhammer},
journal= {arXiv preprint arXiv:2301.11743},
year = {2023}
}
Comments
10 pages, 1 figure