The solutions of the Riemann problem for the isentropic relativistic Euler equations with the extended Chaplygin gas are constructed completely for all the possible cases. The asymptotic limits of solutions to the Riemann problem for the relativistic Euler equations are captured in detail when the equation of state of extended Chaplygin gas becomes the one of Chaplygin gas. It is shown that the formations of delta shock wave solution and two-contact-discontinuity solution are derived and analyzed rigorously during the limiting process.

中文翻译：

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具有扩展Chaplygin气体的相对论欧拉方程的Riemann解的浓度现象。

对于所有可能的情况，完全构造了具有扩展的Chaplygin气体的等熵相对论Euler方程的Riemann问题的解。当扩展的Chaplygin气体的状态方程变为Chaplygin气体之一时，详细记录了相对论性Euler方程的Riemann问题解的渐近极限。结果表明，在极限过程中，对δ激波解和两点间断解的形成进行了严格的推导和分析。