Abstract We mainly consider the limit behaviors of the Riemann solutions to Chaplygin Euler equations for nonisentropic fluids. The formation of delta shock wave and the appearance of vacuum state are found as parameter ε \varepsilon tends to a certain value. Different from the isentropic fluids, the weight of delta shock wave is determined by variance density ρ \rho and internal energy H. Meanwhile, involving the entropy inequality, the uniqueness of delta shock wave is obtained.

中文翻译：

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非等熵 Chaplygin Euler 方程的极限黎曼解

摘要 我们主要考虑非等熵流体Chaplygin Euler方程的黎曼解的极限行为。当参数ε \varepsilon 趋于一定值时，发现δ激波的形成和真空状态的出现。与等熵流体不同，δ激波的权重由方差密度ρ\rho和内能H决定。同时，通过熵不等式，得到δ激波的唯一性。