文献类型：期刊文献

英文题名：Asymptotics toward a nonlinear wave for an outflow problem of a model of viscous ions motion

作者：Li, Yeping[1];Zhu, Peicheng[2]

机构：[1]East China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China;[2]Shanghai Univ, Dept Math, Shanghai 200444, Peoples R China

年份：2017

卷号：27

期号：11

起止页码：2111

外文期刊名：MATHEMATICAL MODELS & METHODS IN APPLIED SCIENCES

收录：;EI(收录号：20173104011668);WOS:【SCI-EXPANDED(收录号:WOS:000408991400004)】；

基金：We are grateful to the anonymous referees for their valuable comments which have greatly improved our manuscript. Y.L. thanks Prof. R. J. Duan for his discussions when Y.L. visited Department of Mathematics, the Chinese University of Hong Kong, and is grateful for the hospitality from Prof. Duan and the department. Y.L. is supported in part by the National Science Foundation of China (Grant No. 11671134), and P.Z. is supported in part by the Start-Up Grant of 1000-Plan Scholar Program from Shanghai University.

语种：英文

外文关键词：Asymptotic stability; rarefaction wave; stationary solution; viscous ions flow; energy estimates

摘要：We shall investigate the asymptotic stability, toward a nonlinear wave, of the solution to an outflow problem for the one-dimensional compressible Navier-Stokes-Poisson equations. First, we construct this nonlinear wave which, under suitable assumptions, is the superposition of a stationary solution and a rarefaction wave. Then it is shown that the nonlinear wave is asymptotically stable in the case that the initial data are a suitably small perturbation of the nonlinear wave. The main ingredient of the proof is the L-2-energy method that takes into account both the effect of the self-consistent electrostatic potential and the spatial decay of the stationary part of the nonlinear wave.