In this paper, we consider an inflow problem for the non-isentropic Navier-Stokes-Poisson system in a half line (0, ∞). For the general gas including ideal polytropic gas, we first give some results for the existence of the stationary solution with the aid of center manifold theory on a 4 × 4 system of autonomous ordinary differential equations. We also show the time asymptotic stability of the stationary solutions with small strength under smallness assumptions on the initial perturbations by using an elementary energy method.

中文翻译：

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完全可压缩Navier-Stokes-Poisson系统流入问题平稳解的存在性和稳定性

在本文中，我们考虑半线 (0, ∞) 中非等熵 Navier-Stokes-Poisson 系统的流入问题。对于包括理想多方气体在内的一般气体，我们首先借助中心流形理论在4×4自治常微分方程组上给出了平稳解存在的一些结果。我们还通过使用基本能量方法显示了在初始扰动的小假设下具有小强度的平稳解的时间渐近稳定性。