Backward self-similar solutions for compressible Navier-Stokes equations

Pierre Germain, Tsukasa Iwabuchi, Tristan Léger

Research output: Contribution to journalArticlepeer-review


This article is devoted to backward self-similar blow up solutions of the compressible Navier-Stokes equations with radial symmetry. We show that such solutions cannot exist if they either have finite energy, or satisfy appropriate smallness conditions. Furthermore, numerical simulations lead us to the conjecture that such solutions do not exist.

Original languageEnglish (US)
Pages (from-to)868-893
Number of pages26
Issue number2
StatePublished - Feb 2021


  • blow-up
  • compressible Navier Stokes
  • self-similar solutions

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics
  • General Physics and Astronomy
  • Applied Mathematics


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