Godunov variables and convex entropy for relativistic fluid dynamics with bulk viscosity
Analysis of PDEs
2022-03-14 v2 Nuclear Theory
Abstract
Based on the conservation-dissipation formalism proposed by Zhu and collaborators we formulate a general version of the Israel-Stewart theory for relativistic fluid dynamics with bulk viscosity. Our generalization consists in allowing for a wide range of dependence of the entropy density on the bulk viscosity. We show the existence of Godunov-Boillat variables for this model. By known properties of systems possessing such variables, this provides an alternative proof of the recently established existence of solutions for the Israel-Stewart theory locally in time, and a proof that entropy production is positive across weak Lax shocks.
Keywords
Cite
@article{arxiv.2110.15223,
title = {Godunov variables and convex entropy for relativistic fluid dynamics with bulk viscosity},
author = {Heiner Olbermann},
journal= {arXiv preprint arXiv:2110.15223},
year = {2022}
}
Comments
10 pages, v2: introduction modified, references added