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- W1968045147 abstract "We study the 1D piston problem for the isentropic relativistic Euler equations when the total variations of the initial data and the speed of the piston are sufficiently small. Employing a modified Glimm scheme, we establish the global existence of shock front solutions including a strong shock without restriction on the strength. In particular, we give some uniform estimates on the perturbation waves, the reflections of the perturbation waves on the piston and the strong shock. Meanwhile, we consider the convergence of the entropy solutions as the light speed c → +∞ to the corresponding entropy solutions of the classical non-relativistic isentropic Euler equations." @default.
- W1968045147 created "2016-06-24" @default.
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- W1968045147 date "2013-03-01" @default.
- W1968045147 modified "2023-10-09" @default.
- W1968045147 title "Global existence and non-relativistic global limits of entropy solutions to the 1D piston problem for the isentropic relativistic Euler equations" @default.
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- W1968045147 doi "https://doi.org/10.1063/1.4792474" @default.
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