Vanishing viscosity limit toward rarefaction wave with vacuum for the two-fluid Navier-Stokes-Poisson system
数学专题报告
报告题目(Title)：Vanishing viscosity limit toward rarefaction wave with vacuum for the two-fluid Navier-Stokes-Poisson system
报告人(Speaker)：姚磊 教授（西北工业大学）
地点(Place)：后主楼1124
时间(Time)：2026年6月13日（周六）10:00-11:00
邀请人(Inviter)：许孝精
报告摘要
We study the vanishing viscosity limit toward rarefaction waves with vacuum for the two-fluid Navier-Stokes-Poisson system. Starting from a one-sided vacuum rarefaction wave of the quasineutral Euler system, we construct corresponding viscous solutions and prove their uniform convergence to the Euler rarefaction wave as the viscosity coefficients vanish. The analysis reveals the behavior of the two distinct densities near the vacuum state under different viscosity coefficients. Moreover, we establish an explicit uniform convergence rate from the two-fluid Navier-Stokes-Poisson system to the corresponding quasineutral Euler equations in the vanishing viscosity limit.
