This paper is concerned with smooth solutions of the non-isentropic Euler–Poisson system for ion dynamics. The system arises in the modeling of semi-conductor, in which appear one small parameter, the momentum relaxation time. When the initial data are near constant equilibrium states, with the help of uniform energy estimates and compactness arguments, we rigorously prove the convergence of the system for all time, as the relaxation time goes to zero. The limit system is the drift-diffusion system.

中文翻译：

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非等熵Euler-Poisson系统的全局零弛豫极限

本文关注的是非等熵Euler-Poisson系统的离子动力学光滑解。该系统出现在半导体建模中，其中出现了一个小参数，即动量松弛时间。当初始数据接近恒定平衡状态时，借助均匀的能量估计和紧密度参数，当弛豫时间变为零时，我们将严格证明系统在所有时间内的收敛性。极限系统是漂移扩散系统。