DELTA SHOCKS AND VACUUM STATES IN VANISHING PRESSURE LIMITS OF SOLUTIONS TO THE RELATIVISTIC EULER EQUATIONS FOR GENERALIZED CHAPLYGIN GAS

作者：Li, Huahui; Shao, Zhiqiang^*

来源：Communications on Pure and Applied Analysis, 2016, 15(6): 2373-2400.

DOI：10.3934/cpaa.2016041

• Relativistic Euler equations
• generalized Chaplygin gas
• zero-pressure relativistic Euler equations
• delta shock wave
• vacuum state
• vanishing pressure limits

The Riemann solutions for the relativistic Euler equations for generalized Chaplygin gas are considered. It is rigorously proved that, as the pressure vanishes, they tend to the two kinds of Riemann solutions to the zero pressure relativistic Euler equations, which include a delta shock formed by a weighted delta-measure and a vacuum state.

• 出版日期2016-11
• 单位福州大学