Incompressible limit and the initial layer of the compressible Euler equation in R+n

Research output: Contribution to journalArticle

14 Citations (Scopus)

Abstract

We consider the incompressible limit of the compressible Euler equation in the half-space R+n. It is proved that the solutions of the non-dimensionalized compressible Euler equation converge to the solution of the incompressible Euler equation when the Mach number tends to zero. If the initial data υ0 do not satisfy the condition `▽·v0 = 0', then the initial layer will appear.

Original languageEnglish
Pages (from-to)945-958
Number of pages14
JournalMathematical Methods in the Applied Sciences
Volume20
Issue number1
Publication statusPublished - 1997 Jan 1
Externally publishedYes

ASJC Scopus subject areas

  • Mathematics(all)
  • Engineering(all)

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