|Mar 28, 2013
In this talk I will talk about existence and regularity for solutions to the compressible viscous Navier-Stokes equations on nonsmooth domains, especially with corners. The solution is constructed by the decomposition of the corner singularities and the regular part. An increased regularity for the remainder and the density function is shown. The singularity is propagated into the region by the transport character of the continuity equation. One may have applications in describing the propagation into the region of the local sound wave impact occured at corners and a damage to the body domain by the singular boundary.