Hyeonseop Kim

Asymptotic stability of viscous shock for the outflow problem of 3D Navier-Stokes system

We establish the asymptotic stability of planar viscous shock waves for the outflow problem of the three-dimensional barotropic compressible Navier--Stokes equations in a half-space, with periodic boundary conditions imposed in the transverse directions. For a weak shock located sufficiently far from the boundary, we p...