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arXiv · 2108.10627

A Prior Derivation and Local Existence of Classical Solutions for the Relativistic Euler Equations with Logarithmic Equation of State

Ka Luen Cheung·Sen Wong·Tat Leung Yee
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Abstract

In this paper, from an investigation of a symmetric hyperbolic system, a prior derivation of the logarithm equation of state is provided. Through a diffeomorphism transforming the classical Euler equations to the symmetric hyperbolic system, we show that the logarithm pressure co-exists with existing barotropic equations of state without applying any physical laws. In this connection, we also establish a local existence of classical solutions for the relativistic Euler equations with the logarithm equation of state.

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Ka Luen Cheung, Sen Wong, Tat Leung Yee. 2021-08-24. A Prior Derivation and Local Existence of Classical Solutions for the Relativistic Euler Equations with Logarithmic Equation of State. https://arxiv.org/abs/2108.10627

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