paper

On self-similar solutions to degenerate compressible Navier-Stokes equations

arXiv:1911.03544 · doi:10.1007/s00220-020-03919-6

Abstract

We study cavitating self-similar solutions to compressible Navier-Stokes equations with degenerate density-dependent viscosity. We prove both existence of expanders and non-existence of small shrinkers.