Self-similar solutions for compressible Navier-Stokes equations
Analysis of PDEs
2019-03-26 v1
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.
Cite
@article{arxiv.1903.09958,
title = {Self-similar solutions for compressible Navier-Stokes equations},
author = {Pierre Germain and Tsukasa Iwabuchi},
journal= {arXiv preprint arXiv:1903.09958},
year = {2019}
}
Comments
24 pages