Yuan Yuan

Existence and stability of shock profiles for a one-dimensional full compressible Navier--Stokes--Poisson equations

This paper studies the existence and asymptotic stability of traveling shock waves for the one-dimensional full compressible Navier--Stokes--Poisson equations, which model viscous heat-conducting ions in a self-consistent electrostatic field. We first prove the existence and uniqueness of a smooth shock profile of smal...