In this paper, the non-isentropic Euler–Poisson system with the varying background charges in flat nozzles is investigated. Under physically acceptable boundary conditions, we establish the monotonicity between shock location and the density at the exit of the nozzle. Moreover, the unique existence of the transonic shock solution is obtained.

中文翻译：

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具有不同背景电荷的非等熵Euler-Poisson系统激波解的适定性

在本文中，研究了扁平喷嘴中背景电荷变化的非等熵Euler-Poisson系统。在物理上可接受的边界条件下，我们在冲击位置和喷嘴出口处的密度之间建立了单调性。而且，获得了跨音速冲击解决方案的独特存在。