Incompressible limit for a viscous compressible fluid

P. L. Lions, N. Masmoudi

Research output: Contribution to journalReview articlepeer-review


We prove various asymptotic results concerning global (weak) solutions of compressible isentropic Navier-Stokes equations. More precisely, we show various results establishing the convergence, as the density becomes constant and the Mach number goes to 0, towards solutions of incompressible models (Navier-Stokes or Euler equations). Most of these results are global in time and without size restriction on the initial data. We also observe rigorously the linearized system around constant flows.

Original languageEnglish (US)
Pages (from-to)585-627
Number of pages43
JournalJournal des Mathematiques Pures et Appliquees
Issue number6
StatePublished - Jun 1998

ASJC Scopus subject areas

  • General Mathematics
  • Applied Mathematics


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