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arXiv · 1205.6942

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

Juan Calvo
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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 $c/\sqrt{3}$.

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Juan Calvo. 2012-05-31. On the hyperbolicity and causality of the relativistic Euler system under the kinetic equation of state. https://doi.org/10.3934/cpaa.2013.12.1341

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