文献类型：期刊文献

英文题名：Existence and zero-electron-mass limit of strong solutions to the stationary compressible Navier-Stokes-Poisson equation with large external force

作者：Li, Yeping[1];Liao, Jie[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

年份：2018

卷号：41

期号：2

起止页码：646

外文期刊名：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录：;EI(收录号：20174404326142);WOS:【SCI-EXPANDED(收录号:WOS:000427318700015)】；

基金：National Natural Science Foundation of China, Grant/Award Number: 11671134; Fundamental Research Funds for the Central Universities

语种：英文

外文关键词：existence; large external force; stationary compressible Navier-Stokes-Poisson system; zero-electron-mass limit

摘要：In this study, we consider a viscous compressiblemodel of plasma and semiconductors, which is expressed as a compressible Navier-Stokes-Poisson equation. We prove that there exists a strong solution to the boundary value problem of the steady compressible Navier-Stokes-Poisson equation with large external forces in bounded domain, provided that the ratio of the electron/ionsmass is appropriately small. Moreover, the zero-electron-mass limit of the strong solutions is rigorously verified. Themain idea in the proof is to split the original equation into 4 parts, a system of stationary incompressible Navier-Stokes equations with large forces, a system of stationary compressible Navier-Stokes equations with small forces, coupled with 2 Poisson equations. Based on the known results about linear incompressible Navier-Stokes equation, linear compressible Navier-Stokes, linear transport, and Poisson equations, we try to establish uniform in the ratio of the electron/ionsmass a priori estimates. Further, using Schauder fixed point theorem, we can show the existence of a strong solution to the boundary value problem of the steady compressible Navier-Stokes-Poisson equation with large external forces. At the same time, fromthe uniform a priori estimates, we present the zero-electron-mass limit of the strong solutions, which converge to the solutions of the corresponding incompressible Navier-Stokes-Poisson equations.