文献类型：期刊文献

英文题名：Asymptotic stability of viscous shock profiles for the 1D compressible Navier-Stokes-Korteweg system with boundary effect

作者：Chen, Zhengzheng[1]; Li, Yeping[2]; Sheng, Mengdi[1]

机构：[1] School of Mathematical Sciences, Anhui University, Hefei, 230601, China; [2] Department of Mathematics, East China University of Science and Technology, Shanghai, China

年份：2017

外文期刊名：arXiv

收录：EI(收录号：20200020698)

语种：英文

外文关键词：Asymptotic analysis - Initial value problems - Navier Stokes equations - System stability

摘要：This paper is concerned with the time-asymptotic behavior of strong solutions to an initial-boundary value problem of the compressible Navier-Stokes-Korteweg system on the half line R+. The asymptotic profile of the problem is shown to be a shifted viscous shock profile, which is suitably away from the boundary. Moreover, we prove that if the initial data around the shifted viscous shock profile and the strength of the shifted viscous shock profile are sufficiently small, then the problem has a unique global strong solution, which tends to the shifted viscous shock profile as time goes to infinity. The analysis is based on the elementary L2-energy method and the key point is to deal with the boundary estimates.35Q35, 35L65, 35B40 Copyright ? 2017, The Authors. All rights reserved.