Self-similar solutions of the compressible Navier–Stokes equations

Pierre Germain; Tsukasa Iwabuchi

doi:10.1007/s00205-021-01645-4

Self-similar solutions of the compressible Navier–Stokes equations

Pierre Germain, Tsukasa Iwabuchi

Mathematics

Research output: Contribution to journal › Article › peer-review

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.

Original language	English (US)
Pages (from-to)	1645-1673
Number of pages	29
Journal	Archive for Rational Mechanics and Analysis
Volume	240
Issue number	3
DOIs	https://doi.org/10.1007/s00205-021-01645-4
State	Published - Jun 2021

ASJC Scopus subject areas

Analysis
Mathematics (miscellaneous)
Mechanical Engineering

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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",

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Self-similar solutions of the compressible Navier–Stokes equations

Abstract

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