Self-similar solutions of the compressible Navier–Stokes equations

Pierre Germain, Tsukasa Iwabuchi

Research output: Contribution to journalArticlepeer-review


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 languageEnglish (US)
Pages (from-to)1645-1673
Number of pages29
JournalArchive for Rational Mechanics and Analysis
Issue number3
StatePublished - Jun 2021

ASJC Scopus subject areas

  • Analysis
  • Mathematics (miscellaneous)
  • Mechanical Engineering


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