Speaker：Yeping Li (Nantong University)

Time：2025-3-31, 8:30

Location：Conference Room C503 at Administration Building at Haiyun Campus 

Abstract:

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.