报告题目 (Title)：Asymptotic stability of the nonlinear wave to the NSP system under space-periodic perturbations (空间周期扰动下非线性波对NSP系统的渐近稳定性)
报告人 (Speaker)：黎野平 教授 (南通大学)
报告时间 (Time)：2025年11月12日（周三） 9:00 am
报告地点 (Place)：腾讯会议 398-221-155
邀请人(Inviter)：朱佩成
报告摘要：In this talk, we focus on the large-time behaviors of the viscous shock profile and rarefaction wave under initial perturbations which tend to space-periodic functions at infinities for the one-dimensional compressible Navier–Stokes–Poisson equations. We mainly present that: (1) for the viscous shock with small strength, if the initial perturbation is suitably small and satisfies a zero-mass type condition, then the solution tends to background viscous shock with a constant shift as time tends to the infinity, and the shift depends on both the mass of the localized perturbation, and the space-periodic perturbation; (2) for the rarefaction wave, if the initial perturbation is suitably small, then the solution tends to background rarefaction wave as time tends to infinity. This is a joint work with Yu Mei and Yuan Yuan.