Self-similar solutions for compressible Navier-Stokes equations

Abstract

We construct forward self-similar solutions (expanders) for the compressible Navier-Stokes equations. Some of these self-similar solutions are smooth, while others exhibit a singularity do to cavitation at the origin.

24 pages

References in corpus (1)

• On the well-posedness of the full compressible Navier-Stokes system in critical Besov spaces