作　　者： (盛万成）; (王国娟）;

机构地区： 上海大学理学院,上海200444

出　　处： 《应用数学与计算数学学报》 2017年第3期290-302,共13页

摘　　要： 研究了Chaplygin气体Euler方程组Riemann解的结构稳定性.当修正Chaplygin气体的压力趋于Chaplygin气体压力时,可压Euler方程组Riemann解的结构是稳定的.特别地,当修正Chaplygin气体的压力趋于Chaplygin气体压力时,Chaplygin气体Euler方程组Riemann问题的δ激波解是由后向激波和前向激波形成的Riemann解的极限. In this article, the structural stability of the Riemann solutions to the Euler equations for the Chaplygin gas is studied. The structures of the Riemann solutions are stable for limits of solutions to the compressible Euler equations as the modified Chaplygin gas pressure tends to the Chaplygin gas pressure. Especially, it is proved that the delta shock wave solution of the Riemann problem for the Chaplygin gas is the limit of the Riemann solution formed by the backward shock wave and the forward shock wave as the modified pressure tends to the Chaplygin gas pressure.

关 键 词： 可压 方程组 修正 气体 气体 问题 激波