A Blow-up Criterion for the Modified Navier–Stokes–Fourier Equations

Jishan Fan, Tohru Ozawa*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


We study the initial boundary value problem for the three-dimensional modified compressible Navier–Stokes–Fourier equations proposed by Brenner. We establish a blow-up criterion for local strong solutions in terms of the density ρ and the temperature θ only.

Original languageEnglish
Article number16
JournalJournal of Mathematical Fluid Mechanics
Issue number2
Publication statusPublished - 2020 Jun 1


  • Blow-up criterion
  • Heat-conductive flows
  • Modified Navier–Stokes–Fourier system

ASJC Scopus subject areas

  • Mathematical Physics
  • Condensed Matter Physics
  • Computational Mathematics
  • Applied Mathematics


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