On the convexity of Relativistic Hydrodynamics
General Relativity and Quantum Cosmology
2013-02-18 v1
Abstract
The relativistic hydrodynamic system of equations for a perfect fluid obeying a causal equation of state is hyperbolic (Anile 1989 {\it Relativistic Fluids and Magneto-Fluids} (Cambridge: Cambridge University Press)). In this report, we derive the conditions for this system to be convex in terms of the fundamental derivative of the equation of state (Menikoff and Plohr 1989 {\it Rev. Mod. Phys.} {\bf 61} 75). The classical limit is recovered.
Keywords
Cite
@article{arxiv.1302.3758,
title = {On the convexity of Relativistic Hydrodynamics},
author = {José María Ibáñez and Isabel Cordero-Carrión and José María Martí and Juan Antonio Miralles},
journal= {arXiv preprint arXiv:1302.3758},
year = {2013}
}
Comments
10 pages