Affiliations: [a] College of Applied Sciences, Beijing University of Technology, Beijing 100022, China | [b] College of Sciences, Beijing Information Science and Technology University, Beijing 100192, China
Correspondence:
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Corresponding author: Yuehong Feng, College of Applied Sciences, Beijing University of Technology, Beijing 100022, China. E-mail: fengyuehong001@163.com.
Abstract: 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.
Keywords: Non-isentropic Euler–Poisson system, global smooth solution, global zero-relaxation limit
