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math.AP2025
Self-Similar Radially Symmetric Solutions of the Relativistic Euler Equations with Synge Energy
Tommaso Ruggeri, Ferdinand Thein, Qinghua Xiao
We consider self-similar, radially symmetric solutions of the relativistic Euler equations with constitutive relations from relativistic kinetic theory, based on Synge energies for…
math.NA2025
Computing Radially-Symmetric Solutions of the Ultra-Relativistic Euler Equations with Entropy-Stable Discontinuous Galerkin Methods
Ferdinand Thein, Hendrik Ranocha
The ultra--relativistic Euler equations describe gases in the relativistic case when the thermal energy dominates. These equations for an ideal gas are given in terms of the pressu…