The incompressible limit of the non-isentropic Euler equations

G. Métivier, S. Schochet

Research output: Contribution to journalArticlepeer-review

200 Scopus citations

Abstract

We study the Euler equations for slightly compressible fluids, that is, after rescaling, the limits of the Euler equations of fluid dynamics as the Mach number tends to zero. In this paper, we consider the general non-isentropic equations and general data. We first prove the existence of classical solutions for a time independent of the small parameter. Then, on the whole space ℝd, we prove that the solution converges to the solution of the incompressible Euler equations.

Original languageEnglish
Pages (from-to)61-90
Number of pages30
JournalArchive for Rational Mechanics and Analysis
Volume158
Issue number1
DOIs
StatePublished - 15 May 2001

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