The Case for Hyperbolic Theories of Dissipation in Relativistic Fluids

TL;DR

This paper advocates for hyperbolic theories of relativistic dissipative fluids, emphasizing their broader physical applicability compared to traditional parabolic models like Navier-Stokes, supported by diverse fluid examples.

Contribution

It demonstrates that hyperbolic theories encompass a wider range of dissipative fluid behaviors than parabolic models, challenging the dominance of Navier-Stokes in relativistic contexts.

Findings

Hyperbolic theories describe a broader class of dissipative behaviors.

Many relativistic fluids deviate from Navier-Stokes predictions.

Hyperbolic models better capture causality and finite propagation speeds.

Abstract

In this paper we highlight the fact that the physical content of hyperbolic theories of relativistic dissipative fluids is, in general, much broader than that of the parabolic ones. This is substantiated by presenting an ample range of dissipative fluids whose behavior noticeably departs from Navier-Stokes'.