摘要： I will discuss about the stationary or non-stationary problems for the compressible viscous Navier-Stokes equations on non-convex polygons. Usually regularity depends on the corner singularities of the Laplace or Lame equations or the Heat equations, etc. Also I will talk about the transport equation on the polygon. This is a crucial step in handling the continuity equation of the Navier-Stokes equations.