On the hyperbolicity and causality of the relativistic Euler system under the kinetic equation of state

Abstract

We show that a pair of conjectures raised in [11] concerning the construction of normal solutions to the relativistic Boltzmann equation are valid. This ensures that the results in [11] hold for any range of positive temperatures and that the relativistic Euler system under the kinetic equation of state is hyperbolic and the speed of sound cannot overcome $c/\sqrt{3}$.

6 pages. Abridged version; full version to appear in Commun. Pure Appl. Anal

References in corpus (2)

• Asymptotics of solutions of the Einstein equations with positive cosmological constant
• Hilbert Expansion from the Boltzmann equation to relativistic Fluids