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

发布时间：2019-05-22 作者：浏览次数：

Speaker:	黎野平	DateTime:	2019年5月23日（周四）下午3：30-4：30
Brief Introduction to Speaker: 黎野平，华东理工大学。		Place:	六号楼二楼报告厅
Abstract:In this talk, I am 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, I present 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.