Abstract
We cast the non-isentropic relativistic Euler system into a symmetric hyperbolic form. Such systems are very suited to treat initial value problems of hyperbolic type. We obtain this form by using the pressure p and not the density ρ as a variable. However, the system becomes degenerate when the pressure p approaches zero, and in these cases we regularise the system by replacing the pressure with an appropriate new matter variable, the Makino variable.
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Brauer, U., Karp, L. (2021). The Non-isentropic Relativistic Euler System Written in a Symmetric Hyperbolic Form. In: Cicognani, M., Del Santo, D., Parmeggiani, A., Reissig, M. (eds) Anomalies in Partial Differential Equations. Springer INdAM Series, vol 43. Springer, Cham. https://doi.org/10.1007/978-3-030-61346-4_3
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