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的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)：2023年10月26日（周四）10：00

报告地点 (Place)：腾讯会议：350 347 651 会议密码：6789

邀请人(Inviter)：朱佩成 教授

主办部门：理学院数学系

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 Prof. Yu Mei and Yuan Yuan.