Generalized relativistic hydrodynamics with a convex extension

TL;DR

This paper introduces a new relativistic hydrodynamics model that generalizes the Euler system and features a convex extension, enabling a symmetric hyperbolic formulation which enhances mathematical understanding.

Contribution

The authors develop a generalized relativistic hydrodynamics model with a convex extension, providing a symmetric hyperbolic form that offers new insights into relativistic fluid dynamics.

Findings

Model admits a convex extension

Enables transformation to symmetric hyperbolic form

Provides new insights into relativistic Euler system

Abstract

We propose a new model which describes relativistic hydrodynamics and generalizes the standard Euler system of isentropic perfect fluids. Remarkably, our system admits a convex extension which allows us to transform it to a symmetric hyperbolic form. This result sheds new light even on the relativistic Euler system.