Delta Shocks and Vacuum States in Vanishing Pressure Limits of Solutions to the Relativistic Euler Equations  

作　　者：Gan YIN Wancheng SHENG 

机构地区：[1]Department of Mathematics, Shanghai University, Shanghai 200433, China College of Mathematics and System Sciences, Xinjiang University, Urumqi 830046, Xinjiang, China [2]Department of Mathematics, Shanghai University, Shanghai 200433, China

出　　处：《Chinese Annals of Mathematics,Series B》2008年第6期611-622,共12页数学年刊（B辑英文版）

基　　金：supported by the National Natural Science Foundation of China (No. 10671120);the ShanghaiLeading Academic Discipline Project (No. J50101).

摘　　要：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.

关 键 词：Relativistic Euler equations in special relativity Pressureless relativistic Euler equations Delta shock waves Vacuum Vanishing pressure limits 

分 类 号：O412.1[理学—理论物理] O411.1[理学—物理]