TY - JOUR
T1 - Self-similar solutions of the compressible Navier–Stokes equations
AU - Germain, Pierre
AU - Iwabuchi, Tsukasa
N1 - 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:
© 2021, The Author(s), under exclusive licence to Springer-Verlag GmbH, DE, part of Springer Nature.
PY - 2021/6
Y1 - 2021/6
N2 - 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.
AB - 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.
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U2 - 10.1007/s00205-021-01645-4
DO - 10.1007/s00205-021-01645-4
M3 - Article
AN - SCOPUS:85103632826
SN - 0003-9527
VL - 240
SP - 1645
EP - 1673
JO - Archive for Rational Mechanics and Analysis
JF - Archive for Rational Mechanics and Analysis
IS - 3
ER -