文献类型：期刊文献

英文题名：Zero-electron-mass limit of the two-dimensional compressible Navier-Stokes-Poisson equations in bounded domain

作者：Li, Yeping[1];Zhou, Gang[1,2];Liao, Jie[1]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Shanghai Dianji Univ, Dept Math, Shanghai, Peoples R China

年份：2018

卷号：41

期号：18

起止页码：9485

外文期刊名：MATHEMATICAL METHODS IN THE APPLIED SCIENCES

收录：;EI(收录号：20184606064325);WOS:【SCI-EXPANDED(收录号:WOS:000452611500082)】；

基金：National Natural Science Foundation of China, Grant/Award Number: 11671134 and 11871335

语种：英文

外文关键词：incompressible Navier-Stokes equation; Navier-Stokes-Poisson equation; uniform estimate; zero-electron-mass limit

摘要：In this paper, we consider the zero-electron-mass limit of the solutions for the two-dimensional compressible Navier-Stokes-Poisson system in the bounded spatial domain. We first show local existence of the regular solutions for the initial boundary value problem to the two-dimensional compressible Navier-Stokes-Poisson equations. Then we establish the uniform estimate of global regular solutions to the compressible Navier-Stokes-Poisson equations with well-prepared initial date for all time. This estimate that is uniform both in time and in the electron mass is derived by a differential inequality with certain decay property. Further, we obtain the global existence of the regular solutions to the compressible Navier-Stokes-Poisson equations. Moreover, we also show that the global regular solutions of the initial boundary value problem for the compressible Navier-Stokes-Poisson equations converge to the solutions of the incompressible Navier-Stokes equations as the electron mass tends to zero.