English

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

Analysis of PDEs 2020-12-30 v1

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.

Keywords

Cite

@article{arxiv.1911.03544,
  title  = {On self-similar solutions to degenerate compressible Navier-Stokes equations},
  author = {Pierre Germain and Tsukasa Iwabuchi and Tristan Léger},
  journal= {arXiv preprint arXiv:1911.03544},
  year   = {2020}
}