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| Delta Shocks and Vacuum States in Vanishing Pressure Limits of Solutions to the Relativistic Euler Equations |
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Citation： |
Gan YIN,Wancheng SHENG.Delta Shocks and Vacuum States in Vanishing Pressure Limits of Solutions to the Relativistic Euler Equations[J].Chinese Annals of Mathematics B,2008,29(6):611~622 |
| Page view： 1574
Net amount： 831 |
Authors： |
Gan YIN; Wancheng SHENG |
Foundation： |
Project supported by the National Natural Science Foundation of China (No. 10671120) and the Shanghai Leading Academic Discipline Project (No. J50101). |
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| Abstract： |
The Riemann problems for the Euler system of conservation laws of energy and
momentum in special relativity as pressure vanishes are considered. The Riemann solutions
for the pressureless relativistic Euler equations are obtained constructively. There are two kinds of solutions, the one involves delta shock wave and the other involves vacuum. The authors prove that these two kinds of solutions are the limits of the solutions as pressure vanishes in the Euler system of conservation laws of energy and momentum in special relativity. |
Keywords： |
Relativistic Euler equations in special relativity, Pressureless relativistic Euler equations, Delta shock waves, Vacuum, Vanishing pressure limits |
Classification： |
35L65, 35L67, 76L05, 76N10 |
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