@article{895c461ec58a4e0cb82219268f7f2722,
title = "Self-similar solutions of the 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 due to cavitation at the origin.",
author = "Pierre Germain and Tsukasa Iwabuchi",
note = "Funding Information: P. Germain was partially supported by the NSF Grant DMS-1501019. T. Iwabuchi was supported by JSPS Program for Advancing Strategic International Networks to Accelerate the Circulation of Talented Researchers and by JSPS KAKENHI Grant 17H04824. Publisher Copyright: {\textcopyright} 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE, part of Springer Nature.",
year = "2021",
month = jun,
doi = "10.1007/s00205-021-01645-4",
language = "English (US)",
volume = "240",
pages = "1645--1673",
journal = "Archive for Rational Mechanics and Analysis",
issn = "0003-9527",
publisher = "Springer New York",
number = "3",
}