Stability and causality in the Israel-Stewart energy frame theory
type: Item
instance of: scholarly article
title: Stability and causality in the Israel-Stewart energy frame theory
zbMATH Open document ID: 0726.76120
DOI: 10.1016/0003-4916(90)90366-V
author: Timothy S. Olson
published in: Annals of Physics
publication date: 1990-01-01T00:00:00Z
review text: The author examined the stability, causality and hyperbolic properties of the theory of relativistic hydrodynamics under the framework of the linearized Israel-Stewart theory [\textit{W. Israel} and \textit{J. M. Stewart}, Proc. R. Soc. Lond., Ser. A 365, 43-52 (1979)]. In particular, the fluid four-velocity was chosen to be a time-like eigenvector of the stress-energy tensor. The author proved that if the prescribed fluid has stable equilibria, then linear perturbations propagate subliminally and obey a symmetric hyperbolic system of equations. The converse is also true. Thus stability is equivalent to causality and hyperbolicity.
Mathematics Subject Classification ID: 76Y05
Mathematics Subject Classification ID: 83C55
zbMATH DE Number: 4199910
zbMATH Keywords: stability
zbMATH Keywords: causality
zbMATH Keywords: hyperbolic properties
zbMATH Keywords: relativistic hydrodynamics
zbMATH Keywords: linearized Israel-Stewart theory
zbMATH Keywords: fluid four-velocity
zbMATH Keywords: stress-energy tensor
zbMATH Keywords: linear perturbations
reviewed by: Krishan Lal Duggal
MaRDI profile type: Publication
cites work: The Thermodynamics of Irreversible Processes. III. Relativistic Theory of the Simple Fluid
cites work: Stability and causality in dissipative relativistic fluids
cites work: Q3999241
full work available at URL: 0003-4916(90)90366-v
OpenAlex ID: W2088161275
description: scientific article; zbMATH DE number 4199910