For this paper, we first obtain the Riemann solutions for the one-dimensional non-isentropic Euler equations of extended Chaplygin gas. The solutions are composed of shock waves, contact discontinuity and rarefaction waves. Furthermore, the behavior of these solutions under the limiting conditions are considered. As a certain parameter tends to zero, we find that the Riemann solutions of the one-dimensional non-isentropic Euler equations for extended Chaplygin gas can be transformed into the solutions of the generalized Chaplygin gas unidirectional. Finally, we are done to verify that the theoretical analysis is accurate by using numerical simulation.

中文翻译：

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扩展Chaplygin气体的黎曼解在极限条件下的行为

对于本文，我们首先获得扩展 Chaplygin 气体的一维非等熵欧拉方程的黎曼解。解由冲击波、接触不连续性和稀疏波组成。此外，还考虑了这些解决方案在限制条件下的行为。当某个参数趋于零时，我们发现扩展Chaplygin气体的一维非等熵欧拉方程的黎曼解可以转化为广义Chaplygin气体单向的解。最后通过数值模拟验证了理论分析的准确性。