[Submitted on 28 Oct 2021] (cross-list from math.AP)
Godunov variables and convex entropy for relativistic fluid dynamics with bulk viscosity
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.
- Comments:
- 10 pages, v2: introduction modified, references added
- Subjects:
- math.AP (math.AP); Nuclear Theory (nucl-th)
- arXiv:
- 2110.15223 [pdf]